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2014-06-04T17:39:19+08:00

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You first get the prime factorization. Then if there is a factor squared you put it outside the squareroot symbol and the remaining inside the squareroot.

Ex.   \sqrt{24} = 2 \sqrt{6}

Since the prime factorization of 24 is  2^{3} *3 So the only square in the prime factorization is 2^2

Ex.  \sqrt{32} = 4 \sqrt{2}

Since the prim factorization of 32 is equal to 2^5 so 2^4 is going to be 4^2 that is why 4 is not inside
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