Question

\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\cdot\sqrt{4-\sqrt{15}}\)

Answer 1

\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\left(\sqrt{4-\sqrt{15}}\right)\)

\(=\left(4\sqrt{10}-4\sqrt{6}+5\sqrt{6}-3\sqrt{10}\right)\left(\sqrt{\frac{5}{2}}-\sqrt{\frac{3}{2}}\right)\)

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

\(=5-\sqrt{15}+\sqrt{15}-3=2\)

(Nếu đúng thì click cho mình 1 cái nhe!)

Answer 2

mình không hiểu chỗ : \(\sqrt{\frac{5}{2}}-\sqrt{\frac{3}{2}}\)