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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 radical 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.
√ (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.
Created with gnuplot using the following input file: set terminal svg font "Bitstream Vera Sans,18" size 600,300 set output "Square_root.svg" set xrange [0:25] set yrange [0:5] set xzeroaxis linetype -1 set yzeroaxis linetype -1 set xtics axis nomirror set ytics axis nomirror set mxtics 5 set key off set grid set border 0 set samples 400 plot x**0.5 with line linetype rgbcolor "red" linewidth 2
greek beta symbol u+03d1: ϑ: greek theta symbol u+03d2: ϒ: greek upsilon with hook symbol u+03d5: ϕ: greek phi symbol u+03f0: ϰ: greek kappa symbol u+03f1: ϱ: greek rho symbol u+03f4: ϴ: greek capital theta symbol u+03f5: ϵ: greek lunate epsilon symbol u+03f6 ϶ greek reversed lunate epsilon symbol
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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