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Classify the following number as rational or irrational with justification: 196 - Mathematics

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Question

Classify the following number as rational or irrational with justification:

`sqrt(196)`

Sum

Solution

The given number is rational number.

Justification: `sqrt(196) = sqrt(14 xx 14)`

= `sqrt((14)^2`

= 14

Thus, `sqrt(196)` is rational.

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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. (i) | Page 6

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