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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.
A square root of a number x is a number r which, when squared, becomes x: =. Every positive real number has two square roots, one positive and one negative. For example, the two square roots of 25 are 5 and −5. The positive square root is also known as the principal square root, and is denoted with a radical sign:
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 ∜
The square root of 2 (approximately 1.4142) is the positive real number that, ... if the square root symbol is interpreted suitably for the complex numbers i and ...
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The following table lists many specialized symbols commonly used in modern mathematics, ... radical symbol (for square root) 1637 (with the vinculum above the radicand)