Question

\(\dfrac{\sqrt{6-2\sqrt{5}}}{2-\sqrt{20}}\)

Answer 1

\(=\dfrac{\sqrt{\left(\sqrt{5}-1\right)^2}}{2-2\sqrt{5}}=\dfrac{\left|\sqrt{5}-1\right|}{-2\left(\sqrt{5}-1\right)}=\dfrac{\sqrt{5}-1}{-2\left(\sqrt{5}-1\right)}=-\dfrac{1}{2}\)