· it has 2 digits
· it is a square number (8 x 8 = 64)
· it is a cube number (4 x 4 x 4 = 64)
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Square numbers have too many factors to be prime.
Yes it is both
The square root of any positive, non-square number will be both real and irrational.
The number of digits in the square root of a number depends on the number. If it is a square number, the square root will have a finite number of digits. If the number is not a square number then the square root will be an irrational number with an infinite, non-repeating decimal representation. In both cases, the number of digits before the decimal point, in the square root of x will be the rounded value of 1+0.5*log10(x)