Question

[Mai Thu Hằng]

Giúp mình với!!!

Answer 1

[Vũ Tiền Châu]

ta có \(\frac{\sqrt{2}+\sqrt{5-\sqrt{24}}}{\sqrt{12}}=\frac{\sqrt{2}+\sqrt{5-2\sqrt{2.3}}}{2\sqrt{2.3}}=\) \(\frac{\sqrt{2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}}{2\sqrt{2.3}}=\frac{\sqrt{2}+\sqrt{3}-\sqrt{2}}{2\sqrt{2.3}}\) =\(\frac{\sqrt{3}}{2.\sqrt{2.3}}=\frac{1}{2\sqrt{2}}=\frac{\sqrt{2}}{4}\)