SOLUTION: How do I square root (without using a calculator) a number when every time I factor it, I get all prime numbers and no pairs. For example, I can factor the square root of 448 to be

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Question 478127: How do I square root (without using a calculator) a number when every time I factor it, I get all prime numbers and no pairs. For example, I can factor the square root of 448 to be 8 square root of 7. But when I tried to factor out 410, I got 4, 2 & 41. So do I just leave the answer as "the square root of 410"? Or how do I solve it?
Answer by ccs2011(207)   (Show Source): You can put this solution on YOUR website!
No you are correct, if all the factors are prime or there are no "paired factors" then it cannot be simplified any further.
In your example, stays as is.

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