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How to find square root of any number:
Finding Square Roots
The easiest way to find a square root is to use a calculator, but you can do it without one. Here’s one way, using 12 as an example of the squared number:
Pick a number that when squared, comes close to (but is less than) the number whose square root you’re finding: 3 × 3 = 9. This is a better choice than 4: 4 × 4 = 16Divide the number you’re finding the square root of (12) by the number you squared (3) in step 1: 12 ÷ 3 = 4Average the closest square root (3) and the answer of step 2 (4): 3 + 4 = 7. 7 ÷ 2 = 3.5Square the average to see how close the number is to 12:
3.5 × 3.5 = 12.25—Close, but not close enough!
Repeat steps 2 and 3 until the number squared is very close to 12:
Divide: 12 ÷ 3.5 = 3.43
Average: 3.5 + 3.43 = 6.935
6.935 ÷ 2 = 3.465
3.465 × 3.465 = 12.006, close enough!