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The two square roots of a negative number are both imaginary numbers, and the square root symbol refers to the principal square root, the one with a positive imaginary part. For the definition of the principal square root of other complex numbers, see Square root § Principal square root of a complex number.
The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors. Since p 2 k = p k , {\textstyle {\sqrt {p^{2k}}}=p^{k},} only roots of those primes having an odd power in the factorization are necessary.
√ (square-root symbol) Denotes square root and is read as the square root of. Rarely used in modern mathematics without a horizontal bar delimiting the width of its argument (see the next item). For example, √2. √ (radical symbol) 1. Denotes square root and is read as the square root of.
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radical symbol (for square root) 1637 (with the vinculum above the radicand) René Descartes (La Géométrie) % percent sign: 1650 (approx.) unknown
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Shelter-in-place order lifted at 4:39 p.m. Officials urged people to stay away from the area in the city's Clifton neighborhood as the investigation is underway.
Square root of two as the hypotenuse of a right isosceles triangle of side 1. SVG redraw of original work. Date: 4 July 2008, 19:44 (UTC) Source: Square root of 2 triangle.png: Author: derivative work: Pbroks13 ; Square root of 2 triangle.png: en:User:Fredrik; Simplified drawing: Rubber Duck (☮ • ) SVG development