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If the square root of a natural number is not an integer, then it is irrational. Another way to look at it: if a natural number N falls between two perfect squares, then the square root of N is irrational.

So in this case, 12 is between 9 (3 squared) and 16 (4 squared). So the square root of 12 is between 3 and 4, and also the square root of 12 is irrational.

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Q: Is the square root of 12 a rational number or irrational number?

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It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.

Irrational Number

The square root of 16 is 4 which is a rational number

The square root of (any number that isn't a perfect square) is irrational.

No. The square root of an integer is either an integer, or an irrational number.

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