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Theory

The square root of a fraction

The square root of a fraction is sometimes easier to evaluate by taking the square root of the numerator and denominator separately.

\frac{9}{4} = \frac{9}{4} = \frac{3}{2}

This rule yields for all real numbers where the denominator is not

0 .

However, in order to avoid non-real solutions it is necessary that the numerator and the denominator are non-negative numbers.

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