To find Square root,
we subtract consecutive odd numbers from number till we obtain 0.
Square root = Total numbers subtracted.
Let’s take an example
Suppose we need to find
√81
Square root of √81
- 81 − 1 = 80
- 80 − 3 = 77
- 77 − 5 = 72
- 72 − 7 = 65
- 65 − 9 = 56
- 56 − 11 = 45
- 45 − 13 = 32
- 32 − 15 = 17
- 17 − 17 = 0
Since, after subtracting 9 numbers, we obtained 0.
∴ √ 81 = 9
But, if we take a big number, like 729.
How would we find square root?
We do it by prime factorization