Question

Rationalise the denominator and simplify:

If $\frac{3}{4-\sqrt{3}}$ is $\frac{3}{13}(4+\sqrt{m})$, then $m$ is ?

Answer 1

We rationalize the denominator, $\frac{3}{4-\sqrt{3}}\ast \frac{4+\sqrt{3}}{4+\sqrt{3}}=\frac{12+3\sqrt{3}}{16-3}=\frac{3(4+\sqrt{3})}{13}$

$\therefore$ Value of m =$3$