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Classify the following number as rational or irrational with justification: 28343 - Mathematics

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Question

Classify the following number as rational or irrational with justification:

`sqrt(28)/sqrt(343)`

Sum
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Solution

`sqrt(28)/sqrt(343) = sqrt(2 xx 2 xx 7)/sqrt(7 xx 7 xx 7)`

= `(2sqrt(7))/(7sqrt(7))`

= `2/7`

Hence, it is a rational 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. (iv) | Page 6
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