Question

What is the square root of 3+root5? Tell me now step by step properly

Answer 1

$3 + \sqrt{5 } \\ = > \: \: \frac{6 + 2 \sqrt{5} }{2} \\ = > \: \: \frac{5 + 2 \sqrt{5} + 1 }{2} \\ = > \: \: \frac{ {( \sqrt{5} + 1)}^{2} }{2}$

Again,

taking square root,

$\frac{ \sqrt{5} + 1}{ \sqrt{2} } \: is \: your \: answer$