Question

Write the simplest rationalising factor of the following:-
(a) $\sqrt{24}$
(b) $\sqrt{18}$
(c)$\sqrt{72}$
(d)$\sqrt{108}$

Answer 1

$\left(a\right)\sqrt{24}=2\sqrt{6}$

Hence, the simplest rationalising factor is $\sqrt{6}$.

$\left(b\right)\sqrt{18}=3\sqrt{2}$

Hence, the simplest rationalising factor is $\sqrt{2}$.

$\left(c\right)\sqrt{72}=6\sqrt{2}$

Hence, the simplest rationalising factor is $\sqrt{2}$.

$\left(d\right)\sqrt{108}=3\sqrt{12}$

Hence, the simplest rationalising factor is $\sqrt{12}$.