Question

Rút gọn \(\sqrt{19-8\sqrt{3}}\)

Answer 1

\(\sqrt{19-8\sqrt{3}}\)

\(=\sqrt{16-2.4.\sqrt{3}+3}\)

\(=\sqrt{\left(4-\sqrt{3}\right)^2}\)

\(=4-\sqrt{3}\)

Answer 2

\(\sqrt{19-8\sqrt{3}}\)

\(=\sqrt{\left(\sqrt{16}\right)^2-2.\sqrt{48}+\left(\sqrt{3}\right)^2}\)

\(=\sqrt{\left(\sqrt{16}-\sqrt{3}\right)^2}\)

\(=\sqrt{16}-\sqrt{3}\)

\(=4-\sqrt{3}\)