Which of the following is not an integer? \sqrt{(64)/(4) } -(54)/(7) (-(25)/(5))²

Question

Which of the following is not an integer?


`\sqrt{(64)/(4) }`
`-(54)/(7)`
`(-(25)/(5))`²

Answer 1

`-(54)/(7)`

Explanation:

The first number is
`\sqrt{(64)/(4) }`

We simplify to get:
`\sqrt{(64)/(4) }=√(16)=4`

The second number is
`-(54)/(7)`.

This number can be rewritten as
`7 (5)/(7)=7.714285714287`

This is not an integer

The third number is
`((-25)/(5))^2`

We simplify to get:
`((-25)/(5))^2=(-5)^2=25`

This is also an integer.

The correct answer is
`-(54)/(7)`.