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

Question

Represent the following mixed infinite decimal periodic fractions as common fractions:
Simplify the following expressions.

(\frac{a \sqrt{a} + b \sqrt{b}}{\sqrt{a} + b} : (a - b) + \frac{2 \sqrt{b}}{\sqrt{a} + \sqrt{b}})

Toppr Admin · Accepted Answer

A-x221A-a-x221A-a-x221A-b-a-x2212-b-2-x221A-b-x221A-a-x221A-b-x2212-x221A-aba-x2212-b-a-x221A-a-2a-x221A-b-x2212-2b-x221A-b-x2212-a-x221A-b-x2212-b-x221A-a-x221A-a-x221A-b-a-x2212-b-a-x221A-a-a-x221A-b-x2212-b-x221A-a-x2212-2b-x221A-b-x221A-a-x221A-b-a-x2212-b-

Represent the following mixed infinite decimal periodic fractions as common fractions:a√a+b√b(√a+√b)(a−b)+2√b√a+√b−√aba−b

a√a(√a+√b)(a−b)+2√b√a+√b−√aba−b=a√a+2a√b−2b√b−a√b−b√a(√a+√b)(a−b)=a√a+a√b−b√a−2b√b(√a+√b)(a−b)

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