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Principal Square Root. The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both and 3 are square roots of 9.
Â· just now. Report Abuse. To find the simplest radical form of any number, you check its factors to see if any of the number's factors are perfect squares. In this case, 4 is a factor of 12 that is a perfect square. So the square root of 12 can be broken up into the square root of 4 times the square root of 3.The square root of 4 can be simplified to be 2, but the square root of 3 cannot be simplified further. Therefore, our answer is 2 times the square root of 3.n this case, 4 is a factor of 12 that is a perfect square. So the square root of 12 can be broken up into the square root of 4 times the square root of 3. The square root of 4 can be simplified to be 2, but the square root of 3 cannot be simplified further. Therefore, our answer is 2 times the square root of 3.