English

sqrt(2) is ______.

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Question

`sqrt(2)` is ______.

Options

  • a rational number

  • an irrational number

  • a terminating decimal

  • a nonterminating repeating decimal

MCQ
Fill in the Blanks
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Solution

`sqrt(2)` is an irrational number.

Explanation:

The square root of `2(sqrt(2))` cannot be expressed as a fraction of two integers `(a/b)` where b ≠ 0. Its decimal form is 1.41421356..., which continues forever without a repeating pattern.

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Chapter 1: Real Numbers - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 41]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 23. | Page 41
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