Question

Estimate √125 to the nearest integer.

Answer 1

Given:

The number is $\sqrt{125}$.

To find:

The estimate value of given number.

Solution:

We have,

$\sqrt{125}=\sqrt{5\times 5\times 5}$

It can be written as

$\sqrt{125}=5\sqrt{5}$

We know that, $\sqrt{5}\approx 2.236$. So,

$\sqrt{125}=5(2.236)$

$\sqrt{125}=11.18$

Approx the value to the nearest integer.

$\sqrt{125}\approx 11$

Therefore, the required integer is 11.