The square root of 32 is not a rational number
No, because 32 is not a perfect square.
It is irrational.
It is an irrational number
The square root of 32 is an irrational number
is a square a rational symmetry? is a square a rational symmetry?
No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.
The square root of 32 isn't rational, so it can't be a fraction.
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
A perfect square is the square of an integer, for example, 32 = 9. It might also be the square of a rational number, like the square of 1/2, of 2/3, etc.
The square roots are irrational.