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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