Question

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

Answer 1

Answer:

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

=

$\frac{ \sqrt{2} }{a + b}$

Step-by-step explanation:

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

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

$\frac{(a - b)( {2}^{ \frac{1}{2} }) }{(a - b)(a + b)} = \frac{ \sqrt{2} }{a + b}$