Name: Estimation of Square Roots
Uploaded: 2019-07-19
Duration: 6 min 2 s
Description: For not-perfect squares, we can estimate their square root to the closest whole number. Learn how to estimate the square root of non-perfect squares.

Question

Find the square root of the following number using the division method.

$9.3025$

Accepted Answer

The square root of $9.3025$ can be calculated as follows.

$1$ . Place a bar over every pair of digits starting from the one’s digit and decimal numbers as well.
$2$ . Find the largest number whose square is less than or equal to the number under the left-most bar. Take this number as the divisor and the number under the left-most bar as the dividend. Divide and get the remainder.
$3$ . Bring down the number under the next bar to the right of the remainder.
$4$ . Double the quotient and enter it with a blank on its right.
$5$ . Guess a largest possible digit to fill the blank which also becomes the new digit in the quotient such that when the new digit is multiplied to the new quotient the product is less than or equal to the dividend.

$\begin{matrix} 3 & . & 0 & 5 \\ 3 & 9 & . & 30 & 25 \\ 3 & 9 \\ 60 & 30 \\ 0 & 0 \\ 605 & 30 & 25 \\ 30 & 25 \\ 0 & 0 \end{matrix}$

$∴ \sqrt{9.3025} = 3.05$ .

Find the square root of the following number using the division method.

$9.3025$

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following number using the division method. 9.3025

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following number using the division method.

$9.3025$