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u 1: Rút gọn biểu thức P=(sqrt (a)+sqrt [4](ab))/(sqrt [4](a)+sqrt [4](b))-(sqrt (a)-sqrt (b))/(sqrt [4](a)-sqrt [4](b))(agt 0,bgt 0) ta thu được kết quả có dạng -msqrt [n](b)

Câu hỏi

u 1: Rút gọn biểu thức
P=(sqrt (a)+sqrt [4](ab))/(sqrt [4](a)+sqrt [4](b))-(sqrt (a)-sqrt (b))/(sqrt [4](a)-sqrt [4](b))(agt 0,bgt 0)
ta thu được kết quả có dạng
-msqrt [n](b)
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u 1: Rút gọn biểu thức P=(sqrt (a)+sqrt [4](ab))/(sqrt [4](a)+sqrt [4](b))-(sqrt (a)-sqrt (b))/(sqrt [4](a)-sqrt [4](b))(agt 0,bgt 0) ta thu được kết quả có dạng -msqrt [n](b)

expert verifiedXác minh chuyên gia

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Thanh Trọngthầy · Hướng dẫn 5 năm

Trả lời

Ta có:<br />$$P=\frac {\sqrt {a}+\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}-\frac {\sqrt {a}-\sqrt {b}}{\sqrt [4]{a}-\sqrt [4]{b}}$$<br />$$=\frac {(\sqrt {a}+\sqrt [4]{ab})(\sqrt [4]{a}-\sqrt [4]{b})-(\sqrt {a}-\sqrt {b})(\sqrt [4]{a}+\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {\sqrt [4]{a^3}-\sqrt [4]{ab}+\sqrt [4]{a^2b}-\sqrt [4]{ab^2}-\sqrt [4]{a^3}-\sqrt [4]{ab}+\sqrt [4]{a^2b}+\sqrt [4]{ab^2}}{\sqrt {a}-\sqrt {b}}$$<br />$$=\frac {2\sqrt [4]{a^2b}-2\sqrt [4]{ab}}{\sqrt {a}-\sqrt {b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{\sqrt {a}-\sqrt {b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt [4]{a}+\sqrt [4]{b}}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a})^2-(\sqrt [4]{b})^2}$$<br />$$=\frac {2\sqrt [4]{ab}(\sqrt [4]{a}-\sqrt [4]{b})}{(\sqrt [4]{a}+\sqrt [4]{b})(\sqrt [4]{a}-\sqrt [4]{b})}$$<br />$$=\frac {2\sqrt [4]{ab}}{\sqrt