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.
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.
In most cases you cannot since the square root is an irrational number, unlike a fraction which is rational.
The square root of 432.8 is 20.80384579831335. This is not a rational number.
No because it can't be expressed as a fraction
The square root of 729 is 27.Yes, it is a rational number because 27 can be written as simple fraction, 27/1.
The square root of 0.49 is 0.7 which is a rational number because it can be expressed as a fraction in the form of 7/10
The square root of 36 is 6 which is a rational number because it can be expressed as an improper fraction in the form of 6/1
Yes because any number that can be expressed as a fraction is a rational number and the answer in the question is 1/2 which is rational
By an indirect proof. Assuming the square root is rational, it can be written as a fraction a/b, with integer numerator and denominator (this is basically the definition of "rational"). If you square this, you get a2/b2, which is rational. Hence, the assumption that the square root is rational is false.