Square Root and Cube Root - Arithmetic Aptitude Questions and Answers

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[ $\sqrt {3}$ - $\frac { 1 } {\sqrt{3} }]^2$ 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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