A) 1
B) 2
C) \[\frac{1}{2}\]
D) 3
Correct Answer: A
Solution :
\[\frac{7\sqrt{3}}{(\sqrt{10}+\sqrt{3})}-\frac{2\sqrt{5}}{(\sqrt{6}+\sqrt{5})}-\frac{3\sqrt{2}}{(\sqrt{15}+3\sqrt{2})}\] \[=\frac{7\sqrt{3}(\sqrt{10}-\sqrt{3})}{10-3}-\frac{2\sqrt{5}(\sqrt{6}-\sqrt{5})}{6-5}\] \[-\frac{3\sqrt{2}(\sqrt{5}-3\sqrt{2})}{15-18}\] \[=\frac{7\sqrt{30}-21}{7}-\frac{2\sqrt{30}-10}{1}-\frac{3\sqrt{30}-18}{-3}\] \[=\sqrt{30}-3-2\sqrt{30}+10+\sqrt{30}-6=1\]
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