Check out which of the following numbers are perfect squares using prime factorization method.
256, 169, 226, 100, 121, 299, 324, 1024, 2027, 10404
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To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square:
Step I: Resolve the given number into prime factors.
Step II: Make pairs of similar factors.
Step III: Take the product of prime factors, choosing one factor out of every pair.
For example : 256
256 : 2*2*2*2*2*2*2*2
256 : (2)^2 * (2)^2 * (2)^2 * (2)^2
√256 = √(2)^2 * (2)^2 * (2)^2 * (2)^2
√256 = 2*2*2*2
√256 = 16
Step I: Resolve the given number into prime factors.
Step II: Make pairs of similar factors.
Step III: Take the product of prime factors, choosing one factor out of every pair.
For example : 256
256 : 2*2*2*2*2*2*2*2
256 : (2)^2 * (2)^2 * (2)^2 * (2)^2
√256 = √(2)^2 * (2)^2 * (2)^2 * (2)^2
√256 = 2*2*2*2
√256 = 16
july2014may2015:
If you can explain it on copy, i will understand much better and also tell me that 256 is 16
i hope you ask method not all question answer........ it's better
because all questions do it same methods
okk....but how can i write this on my copy
means ?????
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