Question

Rut gon:

\(\left(\sqrt{3-\sqrt{5}}\right).\left(\sqrt{10}-\sqrt{2}\right).\left(3+\sqrt{5}\right)\)

Answer 1

Mình rút gọn như sau:

    \(\left(\sqrt{3-\sqrt{5}}\right).\left(\sqrt{10}-\sqrt{2}\right).\left(3+\sqrt{5}\right)\)

\(=\sqrt{\left(\sqrt{\frac{5}{2}}-\sqrt{\frac{1}{2}}\right)^2}.\left(3\sqrt{10}+5\sqrt{2}-3\sqrt{2}-\sqrt{10}\right)\)

\(=\left(\sqrt{\frac{5}{2}}-\sqrt{\frac{1}{2}}\right).\left(2\sqrt{10}+2\sqrt{2}\right)\)

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

\(=8\)

(Chúc bạn học giỏi và tíck cho mìk vs nhá!)