Question

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414,\sqrt{3}=1.732$ and $\sqrt{5}=2.236$, upto three places of decimal.$\frac{6}{\sqrt{6}}$

• A. $2.459$
• B. $2.449$
• C. $2.443$
• D. $2.453$

Answer 1

The correct option is B $2.449$

$\frac{6}{\sqrt{6}}$
Rationalizing the denominator we get,
$=\frac{6\times \sqrt{6}}{\sqrt{6}\times \sqrt{6}}$

$=\frac{6\times \sqrt{2\times 3}}{6}$

$=\frac{6\times \sqrt{2}\times \sqrt{3}}{6}$

$=\frac{6\times 1.414\times 1.732}{6}$

$=2.449$