Step 1 :
Place bar every pair of digits starting with unit digit. Each set of numbers or a single number is called period. The number of bars denotes the number of digits in the square root.
Step 2 :
Now we need to put the largest square less than or equal to the first period. Write the square root of this number as divisor as well as quotient
Step 3 :
Subtract the product of the divisor and quotient from the period and write the next period to the right side of the remainder.
Step 4 :
Now we have to double the quotient as it appears and enter it with a blank on the right for the next digit as the next possible divisor.
Step 5 :
Then we have to guess a digit to fill the blank and also to become the new digit in the quotient. Write the digit at both places. Multiply the new digit in the quotient and the new divisor. Subtract and bring the next period.
Note :
Repeat the last two steps until the period getting finished
Example 1 :
Find the square root of 962361
Solution :
√962361 = 981
Example 2 :
Find the square root of 12321
Solution :
√12321 = 111
Example 3 :
Find the square root of 2116
Solution :
√2116 = 46
Example 4 :
Find the square root of 7744
Solution :
√7744 = 88
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