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What is a square root?

What is a square root? Here are some definitions.

Noun
  1. (mathematics) The number which, when squared, yields another number.
  2. (mathematics) The positive number which, when squared, yields another number; the principal square root.
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Examples
The square root of the corrected peak intensity was finally used to determine the form factor F of each respective reflection.
An ROM may be used in lieu of the squares and the device for extracting square root.
The speed of the satellite is inversely proportional to the square root of the radius of the orbit.
The y-axis on each part is square root of HDL cholesterol centered on the cross-specific mean.
In the continued fraction of the square root of an integer the same denominators recur periodically.
Then the square root of the sum was taken to form a root mean square error.

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