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Which of the following is irrational? - Mathematics

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Question

Which of the following is irrational?

Options

  • `sqrt(4/9)`

  • `sqrt(12)/sqrt(3)`

  • `sqrt(7)`

  • `sqrt(81)`

MCQ

Solution

`bb(sqrt(7))`

Explanation:

Irrational numbers are real numbers which cannot be represented as simple fractions.

Examples: `sqrt(2), sqrt(3), pi`

`sqrt(4/9) = 2/3`  ...(Rational)

`sqrt(12)/sqrt(3) = (2sqrt(3))/sqrt(3) = 2`  ...(Rational)

`sqrt(81) = 9`  ...(Rational)

But `sqrt(7)` is an irrational number.

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Chapter 1: Number Systems - Exercise 1.1 [Page 3]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.1 | Q 6. | Page 3

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