Question

Which of these numbers is not rational?

Answer 1

the square root of 3 which is the first choice

Answer 2

The correct option is A)
`√(3)`

Explanation:

Consider the provided numbers.

`√(3)`, 0.25,
`(1)/(5)` and
`√(9)`

We need to find which of them is not rational number.

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.

Now convert each of the number in decimal form as shown,

`√(3)=1.7320...`,

Here the decimal expansion of the number is neither terminating nor repeating so it is not a rational number.

0.25,

The decimal expansion of the number is terminating, so it is a rational number.

`(1)/(5)=0.2`

The decimal expansion of the number is terminating, so it is a rational number.

`√(9)=3`

3 is a rational number.

Hence, the correct option is A)
`√(3)`