A) \[5\sqrt{2}\]
B) \[3\sqrt{2}\]
C) \[2\sqrt{3}\]
D) \[0\]
Correct Answer: D
Solution :
\[\frac{3\sqrt{2}}{\sqrt{6}+\sqrt{3}}-\frac{4\sqrt{3}}{\sqrt{6}+\sqrt{2}}+\frac{\sqrt{6}}{\sqrt{3}+\sqrt{2}}\] \[=\frac{3\sqrt{2}(\sqrt{6}-\sqrt{3})}{6-3}-\frac{4\sqrt{3}(\sqrt{6}-\sqrt{2})}{6-3}\] \[+\frac{\sqrt{6}(\sqrt{3}-\sqrt{2})}{3-2}\] \[=\sqrt{2}(\sqrt{6}-\sqrt{3})-\sqrt{3}(\sqrt{6}-\sqrt{2})\] \[+\sqrt{6}(\sqrt{3}-\sqrt{2})\] \[=0\]
You need to login to perform this action.
You will be redirected in
3 sec
