Question

$\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }$

Answer 1

Answer:

$\frac{(a+b)}{a^{2} -b^{2} }$ + $\frac{(a-b)}{a^{2} -b^{2} }$ = $\frac{2a}{a^{2} -b^{2} }$

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment$

$thank \: you$