You can. Just add the numbers together, and find their square root. One plus three is four; the square root of the sum is two.
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The numbers are: 6 plus square root of 27 and 6 minus square root of 27
There are 16 square numbers between 1 and 300: 2 to 17 inclusive. There is no square root of these numbers: only of their sum or product or average or some other operation.
The two numbers are the complex conjugate pair27.5 - 79.0174iand27.5 + 79.0174iwhere i is the imaginary square root of -1.
162.0529
1 - 8.06226i and 1 + 8.06226i where i is the imaginary square root of -1.