Question

\(\text{​​}\text{​​}\text{​​}\text{​​}\text{​​}\sqrt{\dfrac{\sqrt{8}+2}{\sqrt{8}-2}}+\sqrt{\dfrac{\sqrt{8}-2}{\sqrt{8}+2}}\)

Answer 1

\(=\sqrt{3+2\sqrt{2}}+\sqrt{3-2\sqrt{2}}\)

\(=\sqrt{2}+1+\sqrt{2}-1=2\sqrt{2}\)