Question

`(√(a+b) )/(√(a-b) ) +(√(a-b) )/(√(a+b) )`

Answer 1

Explanation:

`( √(a + b) )/( √(a - b) ) + ( √(a - b) )/( √(a + b) ) \\ squaring \: on \: both \: sides \\ (a + b)/(a - b) + (a - b)/(a + b) \\ ((a + b) * (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`

Answer 2

`((a+b))/(a^(2) -b^(2) )` +
`((a-b))/(a^(2) -b^(2) )` =
`(2a)/(a^(2) -b^(2) )`

Explanation: