Question

evaluate

$\sqrt{ \frac{9}{8} } + \sqrt{ \frac{1}{8} }$

Answer 1

$\sqrt{ \frac{9}{8} } + \sqrt{ \frac{1}{8} } \\ \\ = \frac{3}{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} } \\ \\ = \frac{(3 + 1)}{2 \sqrt{2} } \\ \\ = \frac{4}{2 \sqrt{2} } = \sqrt{2}$