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The square root of the sum of the squares (RSS) can be used to calculate the aggregate accuracy of a measurement when the accuracies of the all the measuring devices are known. The average accuracy is not merely the arithmetic average of the accuracies (or uncertainties), nor is it the sum of them.
Let's say you are conducting a test to verify the resistance of a coil. The coil is built to have a resistance to within one percent of its nominal value. Further, say you have an ohm meter that is accurate to within 0.5 percent of the measured value, but the test leads introduce an uncertainty of two percent. What is the inherent accuracy of any measurement that you make with that set-up?
Use RSS to figure it out.
RSS = SQRT(0.0052 + 0.022) = 0.0206 = 2.06 percent. Note how the RSS result in this case is greater than the largest of the values under the radical. (BTW, that test rig isn't a very good one for verifying whether the coil is within spec. The rig's uncertainty is more than two times the tolerance of the coil.)
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Square root of 92 and to 1 decimal place?
The square root of 92 is approximately 9.6 when rounded to one decimal place. To find the square root of 92, you can use a calculator or a mathematical method such as the Babylonian method for square roots. This calculation involves iteratively improving an initial guess until the square of the guess is close enough to the target number, in this case, 92.
Why is a square root called a square root?
One definition of "root" is "the basic cause, source, or origin of something." The source of a perfect square is the number that was multiplied by itself to create it: the root of the square, the square root.
What is five and square root of one hundred?
The square root of 100 is 10.
Can a square root be rational?
yes, one such is the square root of four, which is two
What is the square root of 2 over the square root of 18?
One third
