Find the rationalized form of .

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

Problem

Find the rationalized form of

\dfrac{1}{5+2\sqrt{3}}

. (a)

\dfrac{5+2\sqrt{3}}{13}

(b)

\dfrac{5-2\sqrt{3}}{25}

(c)

\dfrac{5-2\sqrt{3}}{13}

(d)

\dfrac{5-2\sqrt{3}}{19}