Question 84767
"Are all square roots irrational numbers?"
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No because 
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{{{sqrt(4)}}} = 2 which is rational.
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{{{sqrt(25)}}} = 5 which is rational.
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{{{sqrt(49/81)}}} = {{{7/9}}} which is rational.
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However many are irrational, such as
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{{{sqrt(2)}}} which has decimal approximation 1.414213562373...
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and the decimal never repeats a block of digits.
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Same for {{{sqrt(10)}}} which has decimal approximation 3.162277660168...
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and this decimal also never repeats a block of digits.
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But the answer to your question is no, many square roots are rational.
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Edwin