Question

O = \(\dfrac{\left(49-20\sqrt{6}\right)\left(5+2\sqrt{6}\right)\sqrt{5+2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}} \)

Tính giá trị của O

Giúp mk vs nha

Answer 1

\(O=\dfrac{\left(49-20\sqrt{6}\right)\left(5+2\sqrt{6}\right)\sqrt{5+2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\\ O=\dfrac{\left(5-2\sqrt{6}\right)^2\left(5+2\sqrt{6}\right)\sqrt{\left(\sqrt{2}+\sqrt{3}\right)^2}}{9\sqrt{3}-11\sqrt{2}}\\ O=\dfrac{\left(5-2\sqrt{6}\right).\left(\sqrt{2}+\sqrt{3}\right)}{9\sqrt{3}-11\sqrt{2}}\\ O=\dfrac{\left(\sqrt{3}-\sqrt{2}\right)^2.\left(\sqrt{2}+\sqrt{3}\right)}{9\sqrt{3}-11\sqrt{2}}\\ O=\dfrac{\sqrt{3}-\sqrt{2}}{9\sqrt{3}-11\sqrt{2}}\\ O=5+2\sqrt{6}\)