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).)
The square root of 212 simplified is: 14.6
The square root of 20 is simplified as: ± 4.5
The square root of 13 simplified is 3.6
The square root of 176 simplified is 13.3
The square root of 382 cannot be simplified.
The square root of 65 cannot be simplified.
The square root of 20 simplified is ±4.5
The square root of 828 simplified is 28.8
The square root of 96 simplified is: 9.8
The square root of 212 simplified is: 14.6
The square root of 20 is simplified as: ± 4.5
The square root of 13 simplified is 3.6
The square root of 176 simplified is 13.3
The square root of 382 cannot be simplified.
The simplified square root of 530,000 is: ± 728
The square root of 871 cannot be simplified.
The square root of 2,626 simplified is 51.2