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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 tortuosity, defined as the square root of the ratio of D f to D b, was 2.14 and moderate in magnitude.
The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.
The fitted lines are for the regression of the square root of the y-axis variable on log shoot dry weight.
An ROM may be used in lieu of the squares and the device for extracting square root.
The square root of the corrected peak intensity was finally used to determine the form factor F of each respective reflection.
The y-axis on each part is square root of HDL cholesterol centered on the cross-specific mean.

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