For the fraction

MATHEMATICS · Single correct · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

For the fraction

\dfrac{k}{\sqrt{m}}

, where

k

and

m

are positive integers, which statement is always true after the denominator is rationalised? (a) The numerator becomes

k^{2}

. (b) The fraction becomes an integer. (c) The denominator becomes

m

. (d) The denominator becomes

m^{2}