Question

Jillian said square root of 25 is irrational because it is a square root. Why is she incorrect?

Answer 1

Because the square root of 25 should be rational and she said it was irrational

Answer 2

Jillian is incorrect because
`√(25)` is equal to 5, which is a rational number.

Explanation:

A number is called rational number if it can be defined in the form of
`(p)/(q)`, where p and q are integers, q≠0.

I real number is called irrational if it cannot be defined as in the form of
`(p)/(q)`.

The given number is

`√(25)`

It can be written as

`√(25)=√((5)^2)`

`√(25)=5`

`√(25)` is equal to 5, which is a rational number.

Therefore
`√(25)` is a rational numbers and Jillian is incorrect.