After rationalising the denominator

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

Problem

After rationalising the denominator, the simplified form of

\dfrac{3}{3-\sqrt5}

is (a)

\dfrac{9-3\sqrt5}{4}

(b)

\dfrac{9+\sqrt5}{4}

(c)

\dfrac{9+3\sqrt5}{4}

(d)

\dfrac{9+3\sqrt5}{14}