$${\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}\,{\text{simplifies}}\,{\text{to:}}$$
A. $$\frac{3}{4}$$
B. $$\frac{4}{{\sqrt 3 }}$$
C. $$\frac{4}{3}$$
D. None of these
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2} \cr & = {\left( {\sqrt 3 } \right)^2} + {\left( {\frac{1}{{\sqrt 3 }}} \right)^2} - 2 \times \sqrt 3 \times \frac{1}{{\sqrt 3 }} \cr & = 3 + \frac{1}{3} - 2 \cr & = 1 + \frac{1}{3} \cr & = \frac{4}{3} \cr} $$Related Questions on Square Root and Cube Root
The least perfect square, which is divisible by each of 21, 36 and 66 is:
A. 213444
B. 214344
C. 214434
D. 231444
Join The Discussion