# Identify the Following as Rational Or Irrational Number. Give the Decimal Representation of Rational Number: Sqrt(9/27) - Mathematics

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

sqrt(9/27)

#### Solution

Given that (9/27)

Now we have to check whether it is rational or irrational

rArrsqrt(9/27)=sqrt9/sqrt27

rArrsqrt(9/27)=3/sqrt(3xx3xx3)

rArrsqrt(9/27)=3/(3sqrt3)

rArrsqrt(9/27)=1/sqrt3

So it is an irrational number.

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Exercise 1.4 | Q 4.4 | Page 31