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Classify the following number as rational or irrational with justification: 318 - Mathematics

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Question

Classify the following number as rational or irrational with justification:

`3sqrt(18)`

Sum
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Solution

`3sqrt(18) = 3sqrt((3)^2 xx 2)`

= `3 xx 3sqrt(2)`

= `9sqrt(2)`

Hence, it is an irrational number.

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Chapter 1: Number Systems - Exercise 1.2 [Page 6]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.2 | Q 4. (ii) | Page 6
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