Question

Rút gọn :\(\sqrt{12-2.\sqrt{35}}\)

giúp mik nha!!!

Answer 1

\(\sqrt{12-2\sqrt{35}}\)

\(=\sqrt{\left(\sqrt{7}\right)^2-2\sqrt{7.5}+\left(\sqrt{5}\right)^2}\)

\(=\sqrt{\left(\sqrt{7}-\sqrt{5}\right)^2}\)

\(=\left|\sqrt{7}-\sqrt{5}\right|\)

\(=\sqrt{7}-\sqrt{5}\)

Answer 2

\(\sqrt{12-2\sqrt{35}}=\sqrt{5-2\sqrt{5}\sqrt{7}+7}=\sqrt{\left(\sqrt{5}-\sqrt{7}\right)^2}=\sqrt{7}-\sqrt{5}\)