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What is the value of (\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{6}+\sqrt{5}})?

Answer and explanation

Correct answer: (2\sqrt{6})

The product of denominators is (6-5=1), and the numerator is ((\sqrt{6}+\sqrt{5})+(\sqrt{6}-\sqrt{5})=2\sqrt{6}). In exams, adding conjugate fractions is often easier together.

Related tags

RationalizationConjugatesSurdsOperations On Real Numbers And The Laws Of ExponentsPolynomialsMathematicsClass 10 Mcq

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