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Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsExpert
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If (A=9+4\sqrt{5}), what is the simplified form of (\sqrt{A})?

Answer and explanation

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

Because ((2+\sqrt{5})^{2}=4+5+4\sqrt{5}=9+4\sqrt{5}), (\sqrt{A}=2+\sqrt{5}). In exams, recognize a perfect-square surd form.

Related tags

SurdsSquare RootIdentityOperations On Real Numbers And The Laws Of ExponentsPolynomialsMathematicsClass 10 Mcq
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10 more MCQs
  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})?
  6. 6What is the simplified form of ((3^2)^4)?
  7. 7If \(a\ne0\), what is the value of \(a^0\)?
  8. 8What is (10^{-2}) equal to?
  9. 9What is the simplified form of ((2\cdot5)^3)?
  10. 10What is the value of \(\left(\frac{3}{4}\right)^2\)?
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