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Subjects
Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsHard
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If (x=\sqrt{5}+2), then (\frac{1}{x}) is equal to which expression?

Answer and explanation

Correct answer: (\sqrt{5}-2)

Rationalizing gives (\frac{1}{\sqrt{5}+2}\cdot\frac{\sqrt{5}-2}{\sqrt{5}-2}=\frac{\sqrt{5}-2}{5-4}=\sqrt{5}-2). In exams, use the conjugate of the denominator.

Related tags

RationalizationReal NumbersSurdsOperations On Real Numbers And The Laws Of ExponentsPolynomialsMathematicsClass 10 Mcq
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