Question

Find the square root of $12+2\sqrt{35}$.

Answer 1

$\begin{array}{c}12+2\sqrt{35}\\ \Rightarrow {\left(\sqrt{7}+\sqrt{5}\right)}^2\\ \Rightarrow \sqrt{12+2\sqrt{35}}\\ \Rightarrow \sqrt{7}+\sqrt{5}\end{array}$

Hence, the square root is $\sqrt{7}+\sqrt{5}$