Calculate the value of after rationalizing the denominator.

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

Problem

Calculate the value of 16−2\dfrac{1}{\sqrt{6}-\sqrt{2}} after rationalizing the denominator. (a) 6−24\dfrac{\sqrt6-\sqrt2}{4} (b) 6+23\dfrac{\sqrt6+\sqrt2}{3} (c) 6+24\dfrac{\sqrt6+\sqrt2}{4} (d) 6+28\dfrac{\sqrt6+\sqrt2}{8}

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