Question

Rationalise the denominater of root over 5/ 2 root over 3

Answer 1

$\dfrac{ \sqrt{5} }{2 \sqrt{3} }$

For rationalising an irrational number, we need to multiply the denominator to the numerator as well as the denominator again.

$\dfrac{ \sqrt{5} }{2 \sqrt{3} } \times \dfrac{2 \sqrt{3} }{2 \sqrt{3} } \\ \\ \implies \frac{ \cancel{2} \sqrt{15} }{ \cancel{12}} = \frac{ \sqrt{15} }{6}$

Hence, the denominator is rationalised.