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Q: Is the square root of 33 irrational?

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irrational

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

The square root of 254 can be said to be irrational.

The square root of 37 is an irrational number.

Most high school algebra books show a proof (by contradiction) that the square root of 2 is irrational. The same proof can easily be adapted to the square root of any positive integer, that is not a perfect square. You can find the proof (for the square root of 2) on the Wikipedia article on "irrational number", near the beginning of the page (under "History").

Related questions

The square root of 94 is an irrational number

The square root of 200 is irrational.

irrational

Irrational (and a multiple of i), as the square root of 255 is 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.

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

The square root of 254 can be said to be irrational.

The square root of 12 is an irrational number

The square root of 12 is an irrational number

The square root of 0.144 is an irrational number

The square root of 37 is an irrational number.