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For products and quotients, the relative uncertainties of the inputs add in quadrature. You calculate the relative uncertainty of the result by taking the square root of the sum of the squared relative uncertainties of the individual variables.

Conditions: The derived quantity is a product ($z=xy$) or a quotient ($z=\frac{x}{y}$).; The variables $x$ and $y$ are nonzero so the relative uncertainty ratios are defined.; The uncertainties are treated as independent.

For products and quotients, the relative uncertainties of the inputs add in quadrature. You calculate the relative uncertainty of the result by taking the square root of the sum of the squared relative uncertainties of the individual variables.

Conditions: The derived quantity is a product ($z=xy$) or a quotient ($z=\frac{x}{y}$).; The variables $x$ and $y$ are nonzero so the relative uncertainty ratios are defined.; The uncertainties are treated as independent.