Question

root 10 + root 5 / root 2

Answer 1

$\frac{ \sqrt{10 } + \sqrt{5} }{ \sqrt{2} } \\ = \frac{(\sqrt{10 } + \sqrt{5}) \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ = \frac{ \sqrt{10} \times \sqrt{2 } + \sqrt{5} \times \sqrt{2} }{2} \\ = \frac{ \sqrt{20} + \sqrt{10} }{2 } \\ = \frac{2 \sqrt{5} + \sqrt{10} }{2}$