Question

rút gọn

\(\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right).\sqrt{2}\)

Answer 1

Chưa bạn nào đúng hết nhé!

Answer 2

\(\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right).\sqrt{2}=\left(2-\sqrt{6-2\sqrt{5}}\right)=2-\sqrt{5-2\sqrt{5}+1}\)

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

Answer 3

\(\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right)\sqrt{2}=2-\sqrt{5-2\sqrt{5}+1}=2-\sqrt{5}+1=3+\sqrt{5}\)