Question

\(\sqrt{7-2\sqrt{10}}+\sqrt{5-2\sqrt{6}}\)

Answer 1

ta có : \(\sqrt{7-2\sqrt{10}}+\sqrt{5-2\sqrt{6}}=\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)

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

Answer 2

\(\sqrt{7-2\sqrt{10}}+\sqrt{5-2\sqrt{6}}\)

= \(\sqrt{5-2\sqrt{10}+2}+\sqrt{3-2\sqrt{6}+2}\)

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

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

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

Tick cho mình nha. Chúc bạn học tốt.