No
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is the square root of 3 rational
Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.
No, the square root of 1500 is not a rational number.
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.