SOLUTION: tell me the method of how to find square root of a number by prime factorisation method eg of 576

Question 1833: tell me the method of how to find square root of a number by prime factorisation method eg of 576
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
I am not too sure of the proper answer to this, but i have just messed around with it...look at prime numbers, eg 2, 3, 4, 5, 7, 11 etc
Start with 2 and divide 576 by 2, to give 288x2. Now do it again on the 288 to give 144x2x2. Now spot that 144 is 12x12, so we have:
576 = 12x12x2x2
or
576 = (12x2)x(12x2)
576 = 24x24
therefore the positive square root of 576 is 24
cheers
Jon.
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