Square Root and Cube Root - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Square Root and Cube Root :: Discussion

[\(\sqrt {3}\) - \(\frac { 1 } {\sqrt{3} }]^2\) simplifies to:

\( \frac {3 } { 4 } \)

\( \frac {4 } { \sqrt{3}} \)

\( \frac {4 } { 3} \)

None of these

Answer : Option C

Explanation :

[\(\sqrt {3}\) - \(\frac { 1 } {\sqrt{3} }]^2\) =\((\sqrt {3})^2\)+\([\frac { 1 } {\sqrt{3} }]^2\)- 2 x \(\sqrt {3}\) x \(\frac { 1 } {\sqrt{3} }\)

= 3+ \( \frac {1 } { 3} \) -2

= 1+\( \frac {1 } { 3} \)

= \( \frac {4 } { 3} \)

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