Question

Find rationalising factors of the denominators of $\frac{1}{2\sqrt{3}}$

Answer 1

Given, $\frac{1}{2\sqrt{3}}$

To find rationalising factor multiply numerator and denominator by$2\sqrt{3}$, we get

$\frac{1\left(2\sqrt{3}\right)}{2\sqrt{3}\times 2\sqrt{3}}$

=$\frac{2\sqrt{3}}{4\times 3}$

=$\frac{2\sqrt{3}}{12}$

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

Hence, rationalising factor for the given expression is $\frac{\sqrt{3}}{6}$