Question

find the square root of 5 + 2 into root 6

Answer 1

$$\begin{gathered} \sqrt{5+2\sqrt{6}} \\ =\sqrt{3+2+2\sqrt{6}} \\ =\sqrt{{\left(\sqrt{3}\right)}^2+{\left(\sqrt{2}\right)}^2+2\times \sqrt{3}\times \sqrt{2}} \\ =\sqrt{{\left(\sqrt{3}+\sqrt{2}\right)}^2} \\ =\sqrt{3}+\sqrt{2} \end{gathered}$$