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The 26 pages that link to Square root, each with the reason it gives.

• Domain of a functionRelated: A real-valued square root requires its radicand to be nonnegative.

• Absolute valueCompared with: For real x, √(x²)=|x|, not always x.

• Irrational numberRelated: Square roots of non-square integers provide familiar examples requiring irrationality proofs.

• Heron's formulaRelated: The final square root converts the product of length factors into an area.

• Standard deviationRelated: Taking this operation converts variance back to the data’s units.

• Babylonian mathematicsRelated: Scribes approximated square roots using iterative numerical procedures.

• Partial functionRelated: The real-valued square-root operation is undefined on negative inputs.

• Root mean squareRelated: Taking the square root restores the original units after averaging squared values.

• Composite numberRelated: A composite integer has a factor no larger than its square root.

• ExponentRelated: Fractional exponents express square roots as powers.

• Negative numberRelated: No real number squared equals a negative number, so such roots require complex numbers.

• Trial divisionRelated: If no divisor is at most the square root, any larger factor would pair with a smaller one.

• Imaginary unitRelated: The defining equation for i makes it a square root of −1.

• Pell equationRelated: Rewriting the equation approximates √D by the rational number x/y.

• Quadratic formulaRelated: The formula’s ± square-root term produces the two possible roots.

• Sieve of EratosthenesRelated: Marking primes only through the limit’s square root is enough to eliminate all composites.

• Brahmagupta's formulaRelated: Taking the square root converts the product of four length terms into an area.

• Distance formulaRelated: Taking a square root converts the sum of squared differences into a distance.

• ReciprocalCompared with: Taking a reciprocal reverses multiplication by a factor; taking a square root reverses squaring.

• Perfect squareRelated: An integer is a perfect square exactly when its principal square root is an integer.

• Square metreRelated: Taking an area’s square root yields a length scale, not a direct side length for every shape.

• Napier's bonesRelated: Special arrangements of Napier's rods can support the extraction of square roots.

• Cube rootCompared with: Unlike real cube roots, negative real numbers have no real square roots.

• Jia XianBroader topic: Jia Xian described an algorithm for extracting square roots.

• Nth rootBroader topic: It is the degree-two case, with familiar sign and principal-value conventions.

• Square root of 2Narrower topic: Square root of 2 is one specific value produced by this operation.