A) \[\frac{97}{153}\]
B) \[\frac{89}{51}\]
C) \[\frac{101}{99}\]
D) \[\frac{69}{33}\]
Correct Answer: A
Solution :
We have, \[\left( \sqrt{\frac{625}{9801}}+\sqrt{\frac{576}{1089}} \right)\times \left( \sqrt{\frac{121}{\sqrt{21025}+144}} \right)\] \[=\left( \frac{25}{99}+\frac{24}{33} \right)\times \left( \frac{11}{\sqrt{145+144}} \right)\] \[=\left( \frac{25+72}{99} \right)\times \frac{11}{\sqrt{289}}=\frac{97}{99}\times \frac{11}{17}=\frac{97}{153}\]
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