Question

\(\sqrt{16+6\sqrt{7}}\)

Answer 1

\(\sqrt{16+6\sqrt{7}}=\sqrt{9+2\cdot3\cdot\sqrt{7}+7}\)

\(=\sqrt{\left(3+\sqrt{7}\right)^2}\)

\(=\left|3+\sqrt{7}\right|=3+\sqrt{7}\)