Question

Write the simplest rationalising factor of the following
a) $\sqrt{24}$
b)$\sqrt{18}$
c)$\sqrt{72}$
d)$\sqrt{125}$

Answer 1

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

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

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

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

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

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

$\left(d\right)\sqrt{125}=5\sqrt{5}$

Hence, rationalising factor is $\sqrt{5}$.