Using square root table, find the square roots of the following:
21.97

Given: 

Given number is 21.97.

To do: 

We have to find the square root of the given number using square root table.

Solution:

From the square root table, we find that,

$\sqrt{21.97}$ lies between $\sqrt{21}$ and $\sqrt{22}$ i.e., 4.583 and 4.690 

Difference between $\sqrt{21}$ and $\sqrt{22}=4.690-4.583$

$=0.107$

Difference between 21 and 22 $=1$

For the difference of 1, the difference in the values of the square roots is $0.107$.

This implies,

For the difference of 0.97, the difference in the values of the square roots  $=0.107\times0.97$

$=0.1038$

Therefore,

$\sqrt{21.97}=4.583+0.104$

$=4.687$

Therefore, the square root of $21.97$ is 4.687.  

Tutorialspoint

Updated on: 10-Oct-2022

91 Views

Kickstart Your Career

Get certified by completing the course

Get Started