Represent the following mixed infinite decimal periodic fractions as common fractions:
$(a + a^{1 / 2} b^{1 / 2}) (a + b)^{- 1} (\sqrt{a} (\sqrt{a} - \sqrt{b})^{- 1} - (\frac{\sqrt{a} + \sqrt{b}}{\sqrt{b}})^{- 1})$

Question

Represent the following mixed infinite decimal periodic fractions as common fractions-displaystyle- -a - a-1-2- b-1-2-a - b-1-sqrt-a-sqrt-a- -sqrt-b-1- - -frac-sqrt-a- - sqrt-b-sqrt-b-1-

Toppr Admin · Accepted Answer

Represent the following mixed infinite decimal periodic fractions as common fractions:(a+a1/2b1/2)(a+b)−1(√a(√a−√b)−1−(√a+√b√b)−1)

Represent the following mixed infinite decimal periodic fractions as common fractions:
$(a + a^{1 / 2} b^{1 / 2}) (a + b)^{- 1} (\sqrt{a} (\sqrt{a} - \sqrt{b})^{- 1} - (\frac{\sqrt{a} + \sqrt{b}}{\sqrt{b}})^{- 1})$