Square Root and Cube Root - Arithmetic Aptitude Questions and Answers

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What should come in place of both x in the equation $\frac { X } { \sqrt{128} }$ = $\frac { \sqrt{162}} { X }$

144

196

Answer : Option A

Explanation :

Let $\frac { X } { \sqrt{128} }$ = $\frac { \sqrt{162}} { X }$

Then x² = $\sqrt{128*162}$

= $\sqrt{64*2*18*9}$

= $\sqrt{8^2*6^2*3^2}$

=8 x 6 x 3

=144

x= $\sqrt{144}$ =12

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