Q: Is the square root of 32 rational?

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The square root of 25 is 5 ... rational.

The square root of 100 is 10, and it is a rational number.

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 16 is 4 which is a rational number

The square root of 196 is 14. Fourteen is a rational number.

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The square root of 32 is not a rational number

No.

No, because 32 is not a perfect square.

The square root of 32 is an irrational number

It is irrational.

It is an irrational number

The square root of 25 is 5 ... rational.

is the square root of 3 rational

No, the square root of 1000 is not rational.

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.

The square root of 4 is 2. 2 is a rational number so they square root of 4 is rational.

The square root of 32 isn't rational, so it can't be a fraction.