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Subjects
Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsExpert
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What is the value of (\frac{1}{3-\sqrt{8}}-\frac{1}{3+\sqrt{8}})?

Answer and explanation

Correct answer: (2\sqrt{8})

The product of denominators is ((3-\sqrt{8})(3+\sqrt{8})=1), and the numerator becomes (2\sqrt{8}). In exams, quickly use the product of conjugate denominators.

Related tags

RationalizationConjugatesReal NumbersOperations On Real Numbers And The Laws Of ExponentsPolynomialsMathematicsClass 10 Mcq
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  1. 1Which option is the simplified form of √128?
  2. 2If α = √3 + 1 and β = √3 − 1, what is αβ?
  3. 3Which option gives the correct value of 1/(√10 − 3)?
  4. 4What is the value of (2^3\cdot2^4)?
  5. 5What is the simplified form of (\frac{5^6}{5^2})?
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  7. 7If \(a\ne0\), what is the value of \(a^0\)?
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