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Class 10MathematicsPolynomialsIrrational numbers and real numbersMediumLevel 26
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If (u=6+\sqrt{5}) and (v=6-\sqrt{5}), what is the value of (uv)?

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Answer and explanation

Correct answer: (31)

Conjugate multiplication gives ((6)^2-(\sqrt{5})^2=36-5=31). Use (a^2-b^2) in such questions.

Related tags

ConjugateSurdsRational-Result

Frequently asked questions

What is the correct answer to this question?

(31)

Why is this the correct answer?

Conjugate multiplication gives ((6)^2-(\sqrt{5})^2=36-5=31). Use (a^2-b^2) in such questions.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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  1. 1Which number is an irrational number?
  2. 2Which number is a rational number?
  3. 3All rational and irrational numbers together form which set?
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  5. 5The decimal \(0.1010010001\ldots\) that shows no fixed repeating block is what type of number?
  6. 6What type of number is \(\sqrt{49}\)?
  7. 7Which statement is correct about √11?
  8. 8Which is the correct definition of a rational number?
  9. 9What is the decimal expansion of an irrational number like?
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