The expression is rationalised

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

Problem

The expression

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

is rationalised. Which of the following is the correct simplified result? (a)

\dfrac{3+\sqrt{2}}{7}

(b)

\dfrac{3-\sqrt{2}}{7}

(c)

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

(d)

\dfrac{3-\sqrt{2}}{11}