Question

Estimate √125 to the nearest integer.

Answer 1

Given:

The number is
`√(125)`.

To find:

The estimate value of given number.

Solution:

We have,

`√(125)=√(5* 5* 5)`

It can be written as

`√(125)=5√(5)`

We know that,
`√(5)\approx 2.236`. So,

`√(125)=5(2.236)`

`√(125)=11.18`

Approx the value to the nearest integer.

`√(125)\approx 11`

Therefore, the required integer is 11.