Question

Tính: √(14-6√5)

Answer 1

\(\sqrt{14-6\sqrt{5}}=\sqrt{9-2\cdot3\cdot\sqrt{5}+5}=\sqrt{\left(3-\sqrt{5}\right)^2}=\left|3-\sqrt{5}\right|=3-\sqrt{5}\)

Answer 2

\(\sqrt{14-6\sqrt{5}}\)

\(=\sqrt{9-6\sqrt{5}+5}\)

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

\(=\left|3-\sqrt{5}\right|\)

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