If $$\sqrt {33} = 5.745{\text{,}}$$   then which of the following values is approximately $$\sqrt {\frac{3}{{11}}} {\text{ ?}}$$

Solution (By Examveda Team)

$$\eqalign{ & = \sqrt {\frac{3}{{11}}} \cr & = \sqrt {\frac{{3 \times 11}}{{11 \times 11}}} \cr & = \frac{{\sqrt {33} }}{{11}} \cr & = \frac{{5.745}}{{11}} \cr & = 0.5223 \cr} $$