A) \[\sqrt{72}\]
B) \[\sqrt{76}\]
C) \[\sqrt{74}\]
D) \[\sqrt{70}\]
Correct Answer: A
Solution :
Let \[\frac{x}{\sqrt{64}}=\frac{\sqrt{81}}{x}\] Then, \[{{x}^{2}}=\sqrt{64\,\,\,\,\,\,81}\] \[=\sqrt{{{8}^{2\,\,\,\,}}}{{9}^{2}}\times 8\times 9=72.\] \[\therefore \,\,\,x=\sqrt{72}\]
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