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Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational.

However, 1/2 and 2 are rational, but their square roots are irrational.

We can say the square root of a rational number is always a real number.

We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.

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โˆ™ 2010-06-21 15:10:51
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Q: A short note on square root of rational number?
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