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Classify the following number as rational or irrational: 23 - Mathematics

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Question

Classify the following number as rational or irrational:

`sqrt23`

Sum

Solution

Let 

x = `sqrt23`

x = 4.79583...

It is non-terminating or non-repeating.

Hence, `sqrt23`  is an irrational number.

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Chapter 1: Number Systems - Exercise 1.3 [Page 14]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 9.1 | Page 14
RD Sharma Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.4 | Q 3.1 | Page 31

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