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Classify the following number as rational or irrational with justification: -0.4 - Mathematics

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Question

Classify the following number as rational or irrational with justification:

`- sqrt(0.4)`

Sum
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Solution

`- sqrt(0.4) = - sqrt(4/10) = - 2/sqrt(10)`

Hence, it is a quotient of rational and irrational numbers, so it is an irrational number.

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Chapter 1: Number Systems - Exercise 1.2 [Page 7]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.2 | Q 4. (v) | Page 7
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