A) 3
B) \[\sqrt{3}\]
C) \[3\sqrt{2}\]
D) \[2\sqrt{3}\]
Correct Answer: B
Solution :
Expression \[\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{2\times 2\times 3}}\] \[-\,\,\sqrt{2\times 2\times 2\times 2\times 2}+\sqrt{5\times 5\times 2}\] \[=\frac{3+\sqrt{6}}{5\sqrt{3}-4\sqrt{3}-4\sqrt{2}-5\sqrt{2}}\] \[=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}=\frac{\sqrt{3}(\sqrt{3}+\sqrt{2})}{\sqrt{3}+\sqrt{2}}=\sqrt{3}\]
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