Calculating Uncertainty in \sqrt{A^2+ B^2}

Thread starter physicsnoob
Start date Sep 24, 2004
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Uncertainty

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To calculate the uncertainty in \sqrt{A^2 + B^2}, the values for A and B are given as A = 3.25 ± 0.05 and B = 2.05 ± 0.01. The maximum value for A is 3.30 and the minimum is 3.20, while B's maximum is 2.06 and minimum is 2.04. The discussion emphasizes the need to determine the largest and smallest possible values of \sqrt{A^2 + B^2} based on these ranges. Proper categorization of questions in forums is also highlighted, indicating that this query resembles a homework problem.

Sep 24, 2004

physicsnoob

can anyone help me with this please?

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Sep 24, 2004

HallsofIvy

Science Advisor

Homework Helper

First, please don't post the same question repeatedly!

Second, this looks like homework and should be in the homework section.

Finally, since A= 3.25+/- 0.05, the largest it can be is 3.25+ 0.05= 3.30 and the smallest it can be is 3.25- 0.05= 3.20. Similarly, largest B can be is 2.06 and the smallest is 2.04. What are the largest and smallest that \sqrt{A^2+ B^2} can be?

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