Rationalise the denominator of and write the answer in the form

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Rationalise the denominator of

\dfrac{15}{6\sqrt{50}}

and write the answer in the form

\dfrac{a\sqrt{b}}{c}

, where

b

is square-free and

a,\,c

are coprime positive integers.