FINDING SQUARE ROOT BY LONG DIVISION METHOD

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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