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) About Me  (Show Source):
You can put this solution on YOUR website!
factorization can be done by successive division by the prime numbers:
704=352%2A2=176%2A2%5E2=88%2A2%5E3=44%2A2%5E4=22%2A2%5E5=11%2A2%5E6
Now we employ the properties of square roots:



:)

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28704%29
factor 704 using prime numbers:
sqrt%282%2A352%29
sqrt%282%2A2%2A176%29
sqrt%282%2A2%2A2%2A88%29
sqrt%282%2A2%2A2%2A2%2A44%29
sqrt%282%2A2%2A2%2A2%2A2%2A22%29
sqrt%282%2A2%2A2%2A2%2A2%2A2%2A11%29
then, pull out "pairs" from underneath radical:
2%2Asqrt%282%2A2%2A2%2A2%2A11%29
2%2A2%2Asqrt%282%2A2%2A11%29
2%2A2%2A2%2Asqrt%2811%29
8%2Asqrt%2811%29