Using square root table, find the square roots of the following:
4955

Given: 

Given number is 4955.

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,

Square root of 4955 is $\sqrt{4955}= \sqrt{10\times10\times49.55}$

$=10\times\sqrt{49.55}$

$\sqrt{49.55}$ lies between $\sqrt{49}$ and $\sqrt{50}$ i.e., 7 and 7.071 

Difference between 49 and 50 $=1$

Difference between 7 and 7.071 $=0.071$

For the difference of 1, the difference in the values of the square roots is $0.071$.

This implies,

For the difference of 0.55, the difference in the values of the square roots  $=0.55\times0.0701$

$=0.03905$

Therefore,

$10\times\sqrt{49.55}=10\times7.039$

$=70.39$

Therefore, the square root of 4955 is 70.39.  

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

103 Views

Kickstart Your Career

Get certified by completing the course

Get Started