how to find square root by prime factorization?
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to find square root by prime factorization
first
suppose we have
64
then
2 64
2 32
2 16
2 8
2 4
2 2
1
64 = 2×2×2×2×2×2
make pairs of two multiplying numbers
take one number from each pair
64 = 2×2×2
64 = 8
if a pair of two numbers if not forming then multiplying the number which is not forming pair with number given to find sq. root.
then do prime factorization of that new number.
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