Name: Patterns of Square Numbers
Uploaded: 2019-07-19
Duration: 9 min 26 s
Description: Did you know that square numbers form various patterns? The square of any odd natural number apart from 1 can be expressed as the sum of two consecutive natu...

Question

Find the square root of the following upto three places of decimal.

$111$

Accepted Answer

Given, $111$

The following steps are to be followed while finding the square root of a number.

Step $1 :$ Determine the number of decimal places up to which the square root of a number is to be calculated, say, $n$ number of decimal.

Step $2 :$ Count the digits in the decimal part of the number. If the number of digits is less than $2 n$ , then add suitable number of zeros to the far side of the decimal part so as to make the digits $2 n$ .

Step $3 :$ Use the long division method of finding the square root up to $(n + 1)$ places of decimal.

Step $4 :$ If the digit at $(n + 1)$ th decimal place is less than $5$ , then delete it to get the answer correct to $n$ decimal places. If however, the digits at $(n + 1)$ th decimal place is $⩾ 5$ , then increase the digit at $n$ th place by $1$ and delete the digit at the $(n + 1)$ th place.

Therefore, square root of $111$ is,

Therefore, $\sqrt{111} = 10.5356$

Thus, $\sqrt{111} = 10.536$

Hence, the required answer is $10.536$ .

Find the square root of the following upto three places of decimal.

$111$

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following upto three places of decimal. 111

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following upto three places of decimal.

$111$