Rationalise the denominator of and choose the correct simplified value.

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

Problem

Rationalise the denominator of 12−3\dfrac{1}{\sqrt2-\sqrt3} and choose the correct simplified value. (a) 2+3\sqrt2+\sqrt3 (b) −2−3-\sqrt2-\sqrt3 (c) 2+35\dfrac{\sqrt2+\sqrt3}{5} (d) 3−2\sqrt3-\sqrt2

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