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Identify the Following as Rational Or Irrational Number. Give the Decimal Representation of Rational Number: `3sqrt18` - Mathematics

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Question

Identify the following as rational or irrational number. Give the decimal representation of rational number:

`3sqrt18`

Solution

Given number is `3sqrt18`

`rArr3sqrt18=3sqrt(3xx3xx2)`

`rArr3sqrt18=3xx3sqrt2`

`rArr3sqrt18=9sqrt2`

So it is an irrational number

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Chapter 1: Number Systems - Exercise 1.4 [Page 31]

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RD Sharma Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.4 | Q 4.2 | Page 31

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