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Find the prime factorization of the number left underneath the root, and if there are now repeated numbers, then the square root has been simplified completely.
For example for 12√(30), the prime factorization of 30 is 2*3*5. There are no repeated numbers, so 12√(30) has been simplified completely.
For 9√(50), the prime factorization of 50 is 2*5*5. A number is repeated (there are two 5's) so 9√(50) has not been simplified completely. (It can be simplified to 45√(2).)
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What is the square root of 20 simplified as?
The square root of 20 is simplified as: ± 4.5
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The square root of 212 simplified is: 14.6
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