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Only if the square root of the numerator and the square root of the denominator are both rational numbers.
The square root of 3 is not a rational number because it can't be expressed as a fraction.
If you mean the square root of 196/225 then it is 14/15 which is a rational number because it can be expressed as a fraction.
The square root of 102 is an irrational number because it can't be expressed as a fraction.
The square root of 432.8 is 20.80384579831335. This is not a rational number.