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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 square root symbol refers to the principal square root, which is the positive one. 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.
Symbol Name Date of earliest use ... radical symbol (for square root) 1637 (with the vinculum above the radicand) René Descartes (La Géométrie) % percent sign:
√ (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.
The radical symbol (√), for square root, was introduced by Christoph Rudolff in the early 1500s.Michael Stifel's important work Arithmetica integra [53] contained important innovations in mathematical notation. In 1556 Niccolò Tartaglia used parentheses for precedence grouping.
A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an n th root is a root extraction. For example, 3 is a square root of 9, since 3 2 = 9, and −3 is also a square root of 9, since (−3) 2 = 9.
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Square sign may refer to: The number sign # The radical symbol {\displaystyle {\sqrt {\,\,}}} 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 ∜