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It depends. If a number is a perfect square or a ratio of perfect squares then its square root is rational. If not, the square root is irrational.

For example,

Consider 9/4. Since 9 and 4 are both perfect squares, the square root of their ratio is rational. sqrt(9/4) = 3/2 or 1.5. But this is less obvious if the number is presented to you as sqrt(2.25)




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Q: Is the square root numbers rational or irrational?
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