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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.
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The square root symbol refers to the principal value of the square root function called 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.
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√ (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 expression involving roots, also known as an nth root; Radical symbol (√), used to indicate the square root and other roots; Radical of an algebraic group, a concept in algebraic group theory; Radical of an ideal, an important concept in abstract algebra; Radical of a ring, an ideal of "bad" elements of a ring
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This image is a derivative work of the following images: Square root of 2 triangle.png licensed with PD-self . 2006-08-24T23:06:09Z Lachaume 500x500 (8652 Bytes) {{Information |Description=Square root of two as the hypotenuse of a right isosceles triangle of side 1 |Source=en.wikipedia.org |Date=2005, April 16th |Author=[[:en:User:Fredrik]] |Permission=Public domain |other_versions=:e