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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").
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Earn +20 ptsQ: Why is the square root of 33 irrational?
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Is the square root of 33 irrational?
Yes, square root of 33 is irrational.
Is the square root of 28 irrational or rational?
irrational
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 254 irrational?
The square root of 254 can be said to be irrational.
Is the square root of 37 an irrational?
The square root of 37 is an irrational number.
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