Question

how to do square root method by long division

Answer 1

Steps

Make pairs of the digits of the given number from right to left. Put small line segment (bar) over each pair of digits. If the number of digits is odd, one digit will be left unpaired at the extreme left of the number. Put a bar over this single unpaired digit too.

2. Consider the first pair of digits or the single unpaired digit from left. This is the dividend. Find the greatest number the square of which is not more than the dividend. Write this number in the place of the quotient.

3. Write the square of the number obtained in Step 2 below the divider and subtract. Find the remainder (if any).

4. Write the remainder obtained in Step 3 along with the next pair d digits of the given number. This new number is the new dividend. ( there is no remainder in Step 3, write only the next pair of digits of the given number.)

5. Write the first quotient just below the divisor and add them.

6. Write the largest possible digit on the right of the sum (obtained to Step 5) so that the product of the new number and the largest possible digit does not exceed the new dividend. Subtract it from the new dividend. This largest possible digit will be the second digit of the square root of the given number.

7. Write the remainder (if any) obtained in Step 6 along with the next par of digits of the given number. This number is the new dividend. Repeat the process till all the pairs of the given number are exhausted.