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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.
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.
√ (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.
radical symbol (for square root) 1637 (with the vinculum above the radicand) René Descartes (La Géométrie) % percent sign: 1650 (approx.) unknown
Square sign may refer to: The number sign # The radical symbol or √ used for square root, or its precomposed form with a number, such as the Unicode characters for the cube root and the fourth root, ∛ and ∜; Any square-shaped symbol, including many geometrically shaped Unicode characters
The square root of two is the frequency ratio of a tritone interval in twelve-tone equal temperament music. The square root of two forms the relationship of f-stops in photographic lenses, which in turn means that the ratio of areas between two successive apertures is 2.
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He introduced the radical symbol (√) for the square root. It is believed that this was because it resembled a lowercase "r" (for "radix"), [ 3 ] [ 4 ] though there is no direct evidence. [ 5 ] Cajori only says that a "dot is the embryo of our present symbol for the square root" [ 6 ] though it is "possible, perhaps probable" that Rudolff's ...