Is the real number $\sqrt{1.21}$ $sqrt(1.21)$ rational or irrational?

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Is the real number $\sqrt{1.21}$ $sqrt(1.21)$ rational or irrational?

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Answer 1 · 2015-04-09T12:17:39

It is rational.

$1.21 = \frac{121}{100}$ $1.21 = 121/100$ , so $\sqrt{1.21} = \sqrt{\frac{121}{100}} = \frac{\sqrt{121}}{\sqrt{100}} = \frac{11}{10}$ $sqrt 1.21 = sqrt (121/100) = sqrt 121 / sqrt 100 = 11/10$ .
Which is a ratio of two integers.

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Is the real number $\sqrt{1.21}$ $sqrt(1.21)$ rational or irrational?

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Is the real number $\sqrt{1.21}$ $sqrt(1.21)$ rational or irrational?