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. If $\frac{4}{\sqrt{3}}$ is $2.m09$, then find the value of $m$.

Answer 1

$=\frac{4\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}$

$=\frac{4\times 1.732}{3}$

$=\frac{6.928}{3}$
$=2.309$

$\therefore$ Value of $m=3$