Question

Find the value of $\sqrt{11}$ correct up to three places of decimals.

• A. $3.316$
• B. $3.3$
• C. $3.31$
• D. $3.2$

Answer 1

Answer: (A)

$3.316$

The following steps to find the square root by long division method
1. Draw lines over pairs of digits from right to left.
2. Find the greatest number whose square is less than or equal to the digits in the first group.
3. Take this number as the divisor and quotient of the first group and find the remainder.
4. Move the digits from the second group besides the remainder to get the new dividend.
5. Double the first divisor and bring it down as the new divisor.
6. Complete the divisor and continue the division.
7. Put the decimal point in the square root as soon as the integral part is exhausted.
8. Repeat the process till the remainder becomes zero.

	3.316
3	$\overline{11}$. $\overline{00}$ $\overline{00}$ $\overline{00}$ 9
63	200 189
661	1100 661
6626	43900 39756
	414400

$\sqrt{11}$ = 3.316 (correct upto two decimal places)