Question

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

`sqrt(9/27)`

Answer 1

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.