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Find the square root of perfect square number 10329796.

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Hint: 

1. 4 pairs of digits in number, 

so 4 digits in the square root. 

2. first square root digit = 3 

3. Remainder = 10 – 32 = 1, 

Take next pair 32, besides 1, 

so new divident = 132. 

4. Divisor = double of 3 = 6 

5. 13 of the number 132, 

can be divided by 6, 2 times 

so write quotient 2 next to 3 in quotient column. 

6. Write 2 next to divisor 6. 

So, the corrected divisor = 62 

7. 132 – 62 × 2 = 132 – 124 

= 8 = Remainder 

8. Take 97 next to remainder 8, 

So new dividend = 897 

and new divisor 

= 32 × 2 = 64 

9. 89 ÷ 64 = 1 quotient, 

So write 1 next to quotient 32. 

10.Write next to divisor 64, 

So the corrected divisor = 641. 

11.897 – 641 × 1 = 897 – 641 = 256, 

take 96 to this remainder 256. 

12.So, the new dividend = 25696 

and new divisor = 321 × 2 = 642. 

13.2569 ÷ 642 = 4 quotient, 

So write 4 next to the quotient 321. 

14.Write 4 next to divisor 642, 

So the corrected divisor = 6424 

15.25696 – 6424 × 4 = 0 remainder. 

Hence, remainder = 0 

Square root = quotient = 3214

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