Question

Rationalise the denominator of the following:

If $\frac{2}{3\sqrt{3}}$ is $\frac{2}{9}\sqrt{m}$, then $m$ is

Answer 1

Rationalising the denominator means converting it into a rational number from an Irrational number.
hence, for this number $\frac{2}{3\sqrt{3}}$, multiply and divide it by $\sqrt{3}$
Thus, the new number becomes $\frac{2\sqrt{3}}{9}$

Thus the new value of $m$ is $3$.