Question

Simplification of $\frac{2\sqrt{3}}{3}-\frac{\sqrt{3}}{6}$ is $\frac{\sqrt{m}}{2}$, then find the value of $m$.

Answer 1

Given, $\frac{2\sqrt{3}}{3}-\frac{\sqrt{3}}{6}=\frac{\sqrt{m}}{2}$................(1)

Now, $\frac{2\sqrt{3}}{3}-\frac{\sqrt{3}}{6}$$=\frac{4\sqrt{3}-\sqrt{3}}{6}$ $=\frac{3\sqrt{3}}{6}$

$\Rightarrow \frac{2\sqrt{3}}{3}-\frac{\sqrt{3}}{6}$ $=\frac{\sqrt{3}}{2}$.............(2)

Comparing (1) and (2), we get,

value of $m=3$.