Question

Tính

\(\sqrt{3+\sqrt{5}}+\sqrt{3-\sqrt{5}}\)

Answer 1

\(A=\sqrt{3+\sqrt{5}}+\sqrt{3-\sqrt{5}}\)

=>\(A^2=3+\sqrt{5}+3-\sqrt{5}+2\cdot\sqrt{9-5}\)

=>\(A^2=6+2\cdot2=10\)

=>\(A=\sqrt{10}\)