Simplify the following expression

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

Simplify the following expression, leaving no radical in any denominator: G=15−1220G = \dfrac{1}{\sqrt{5}} - \dfrac{1}{2\sqrt{20}}. (i) Rationalize the denominator of each term separately. (ii) Combine the two terms obtained in part (i) and simplify your answer as far as possible.

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