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Fractions

You find the square root of a fraction by finding the square root of the numerator and the square root of the denominator.

sqrt{frac{a}{b}}=frac{sqrt{a}}{sqrt{b}}

Logarithm if a fraction

Perceiving a fraction as a division it is obvious that the laws of logarithms apply:

log(frac{a}{b})=log(a)-log(b)