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State, whether the following number is rational or not :(√762)2 - Mathematics

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Question

State, whether the following number is rational or not :
`( [√7]/[6sqrt2])^2`

Sum
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Solution

`( [√7]/[6sqrt2])^2`

= `( √7 )^2/( 6^2 xx √2)^2   ...[∵ (a/b)^2 = a^2/b^2]`

= `7/[ 36 xx 2 ]`

= `7/72`

`7/72` is rational Number

∴ `( [√7]/[6sqrt2])^2` is a rational Number.

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (B) [Page 13]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (B) | Q 1.6 | Page 13
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