Simplify and express the answer in the form

MATHEMATICS · Subjective · AoPS · Mathematics · Follow the Rules · Follow the Rules

Problem

Simplify

\displaystyle\frac{5\sqrt{20}\times\sqrt{45}}{\sqrt{5}}

and express the answer in the form

p\sqrt{q}

, where

p

and

q

are positive integers and

q

has no perfect square factor greater than

1