Question

Simplify the rational expression by rationalizing the denominator.
4√6/√30
Thank you! :)

Answer 1

well 30 you have to do the prime factorization

Answer 2

it would be √5*2*3

Answer 3

\[\large \frac{4\sqrt{6}}{\sqrt{30}} \times \frac{\sqrt{30}}{\sqrt{30}} = \frac{4\sqrt{6}\sqrt{30}}{30} = \frac{4\sqrt{180}}{30} = \frac{4\sqrt{36 \times 5}}{30} = \frac{24\sqrt{5}}{30} = \frac{4\sqrt{5}}{5}\]