Question

\left(a-b\right)\sqrt{\frac{2}{a^2-b^2}}

Answer 1

`\left(a-b\right)\sqrt{(2)/(a^2-b^2)}`

=

`( √(2) )/(a + b)`

Explanation:

`\left(a-b\right)\sqrt{(2)/(a^2-b^2)}`

`(a - b)( \frac{ {2}^{ (1)/(2) } }{(a + b)(a - b)} )`

`\frac{(a - b)( {2}^{ (1)/(2) }) }{(a - b)(a + b)} = ( √(2) )/(a + b)`