A) \[\sqrt{6}-\sqrt{2}\]
B) \[\sqrt{6}+\sqrt{2}\]
C) \[\sqrt{6}-2\]
D) \[2-\sqrt{6}\]
Correct Answer: C
Solution :
\[\sqrt{\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}\] \[=\sqrt{\frac{2(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}=\sqrt{\frac{2}{5+2\sqrt{6}}}\] \[=\sqrt{\frac{2}{{{(\sqrt{3}+\sqrt{2})}^{2}}}}=\frac{\sqrt{2}}{\sqrt{3}+\sqrt{2}}=\sqrt{2}(\sqrt{3}-\sqrt{2})\] \[=\sqrt{6}-2\]
You need to login to perform this action.
You will be redirected in
3 sec
