Name: Square Root of Decimal by Long Division Method
Uploaded: 2019-07-19
Duration: 4 min 47 s
Description: Do you know the tedious procedure of finding the square root of decimals easier? You can do that with the help of the long division method! Watch the video t...

Question

Evaluate: $\sqrt{11449}$

Accepted Answer

Given, $\sqrt{11449}$

Steps in Long-division method:

(i) First we make the pair of the digits starting from the digit's at one's place.
For making the pair place a bar over every pair of digits.
If the number of digits in it odd, then the left-most single digit will have a bar.
(ii) Find the largest number whose square is less than or equal to the number under the extreme left bar.
Take this number as the divisor and the number under the extreme left bar as dividend.
Divide and get the remainder.
(iii) To the right of the remainder place the number that is under the next bar.
(iv) Now double the divisor and enter it with blank on its right.
(v) Think the largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend.
(vi) Repeat these steps till get the remainder zero and no digits are left in the given number.

$\begin{matrix} 1 & 0 & 7 \\ 1 & 1 & 14 & 49 \\ 1 & 1 \\ 207 & 14 & 49 \\ 7 & 14 & 49 \\ 0 & 00 \end{matrix}$

Hence, the square root of given number is $107$

Evaluate: $\sqrt{11449}$

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Evaluate: 11449

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Evaluate: $\sqrt{11449}$