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Find whether the variable u represents a rational or an irrational number: u2=174 - Mathematics

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Question

Find whether the variable u represents a rational or an irrational number:

`u^2 = 17/4`

Sum
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Solution

`u^2 = 17/4`

On solving, we get

⇒ `u = +- sqrt(17)/2`

`sqrt(17)` is irrational.

Hence, u is an irrational number

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Chapter 1: Number Systems - Exercise 1.3 [Page 9]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 1. (iv) | Page 9
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