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State whether the following statement is true or false. Justify your answer. Every real number is an irrational number. - Mathematics

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Question

State whether the following statement is true or false. Justify your answer.

Every real number is an irrational number.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

The set of real numbers includes both rational and irrational numbers. For instance, `1/2` is a rational number, which means it is real. But it's not an irrational number.

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Chapter 1: Number Systems - Exercise 1.2 [Page 8]

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NCERT Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.2 | Q 1.3 | Page 8

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