Q: Is the square root of 32 irrational?

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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 94 is an irrational number

The square root of 11 is an irrational number

If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.

The square root of 12 is an irrational number

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sqrt(32) = 4sqrt(2) The square root of '2' is irrational, so the square root of '32' is irrational.

The square root of 32 is an irrational number

It is irrational.

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.

It is an irrational number

The square root of 94 is an irrational number

The square root of 200 is irrational.

irrational

The square root of 11 is an irrational number

If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.

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

It is a irrational number. Because the square root of every imperfect square is irrational number.