The square root (or cubic root, or fourth root, etc.) of any positive integer can only be:
a) either an integer,
b) or an irrational number.
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is the square root of 3 rational
No, the square root of 1500 is not a rational number.
Square root 150 = ± 12.247448713916
The square root of 225 is 15, which is a rational number.
Only if the square root of the numerator and the square root of the denominator are both rational numbers.