Question

Rút gọn biểu thức :

\(\sqrt{37-20\sqrt{3}}-\sqrt{37+20\sqrt{3}}\)

Answer 1

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

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

\(=5-2\sqrt{3}+5+2\sqrt{3}\)

\(=10\)