SOLUTION: Simplify with out using a calculator the square root of 704. Thanks!

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Question 745954: Simplify with out using a calculator the square root of 704. Thanks!
Found 2 solutions by tommyt3rd, nerdybill:
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
factorization can be done by successive division by the prime numbers:

Now we employ the properties of square roots:



:)

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

factor 704 using prime numbers:






then, pull out "pairs" from underneath radical:





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