Question

Tính

\(\sqrt{28+12\sqrt{5}}\)

Answer 1

\(=\sqrt{\left(3\sqrt{2}+\sqrt{10}\right)^2}=3\sqrt{2}+\sqrt{10}\)

Answer 2

\(\sqrt{28+12\sqrt{5}}=\sqrt{\left(\sqrt{18}\right)^2+2.\sqrt{18}.\sqrt{10}+\left(\sqrt{10}\right)^2}=\sqrt{\left(\sqrt{18}+\sqrt{10}\right)^2}=\left|\sqrt{18}+\sqrt{10}\right|=\sqrt{18}+\sqrt{10}\)

Answer 3

\(\sqrt{28+12\sqrt{5}}=3\sqrt{2}+\sqrt{10}\)