Given:
The number is [tex]\sqrt{125}[/tex].
To find:
The estimate value of given number.
Solution:
We have,
[tex]\sqrt{125}=\sqrt{5\times 5\times 5}[/tex]
It can be written as
[tex]\sqrt{125}=5\sqrt{5}[/tex]
We know that, [tex]\sqrt{5}\approx 2.236[/tex]. So,
[tex]\sqrt{125}=5(2.236)[/tex]
[tex]\sqrt{125}=11.18[/tex]
Approx the value to the nearest integer.
[tex]\sqrt{125}\approx 11[/tex]
Therefore, the required integer is 11.
