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

Question

Represent the following mixed infinite decimal periodic fractions as common fractions-displaystyle- x-1-2- - x-1-2- - frac-1 - x-1 - x-1-3-1 - sqrt-x-

Toppr Admin · Accepted Answer

Represent the following mixed infinite decimal periodic fractions as common fractions:x1/2+x−1/2+(1−x)(1−x−1/3)1+√x

Represent the following mixed infinite decimal periodic fractions as common fractions:
$x^{1 / 2} + x^{- 1 / 2} + \frac{(1 - x) (1 - x^{- 1 / 3})}{1 + \sqrt{x}}$