Calculate error propagation from two dataset arrays

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I want to calculate the error propagation from two different datasates.
F1=(a1, a2, a3,.....an)
F2=(b1, b2, b3,.....bn)
The error propagation wanted is gonna be like that dF = sqrt(dF1 + dF2) while the dF is the error propagation.
Please not I dont have the uncertainty on every value (a1,b2,....)

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