$${\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}$$ simplifies to ?
A. $$\frac{3}{4}$$
B. $$\frac{4}{{\sqrt 3 }}$$
C. $$\frac{4}{3}$$
D. None of these
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & = {\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2} \cr & = {\left( {\sqrt 3 } \right)^2} + {\left( {\frac{1}{{\sqrt 3 }}} \right)^2} - 2 \times \sqrt 3 \times \frac{1}{{\sqrt 3 }} \cr & = 3 + \frac{1}{3} - 2 \cr & = 1 + \frac{1}{3} \cr & = \frac{4}{3} \cr} $$This Question Belongs to Arithmetic Ability >> Square Root And Cube Root
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