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2. Square root - Wikipedia

   en.wikipedia.org/wiki/Square_root

   Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 5 2 (5 squared). In mathematics, a square root of a number x is a number y such that =; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1]

3. Elementary mathematics - Wikipedia

   en.wikipedia.org/wiki/Elementary_mathematics

   An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.

4. Methods of computing square roots - Wikipedia

   en.wikipedia.org/wiki/Methods_of_computing...

   A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

5. Square root of 5 - Wikipedia

   en.wikipedia.org/wiki/Square_root_of_5

   The approximation ⁠ 161 / 72 ⁠ (≈ 2.23611) for the square root of five can be used. Despite having a denominator of only 72, it differs from the correct value by less than ⁠ 1 / 10,000 ⁠ (approx. 4.3 × 10 −5). As of January 2022, the numerical value in decimal of the square root of 5 has been computed to at least 2,250,000,000,000 ...

6. Algebraic number - Wikipedia

   en.wikipedia.org/wiki/Algebraic_number

   These numbers are roots of polynomials of degree 5 or higher, a result of Galois theory (see Quintic equations and the Abel–Ruffini theorem). For example, the equation: = has a unique real root, ≈ 1.1673, that cannot be expressed in terms of only radicals and arithmetic operations.

7. Quadratic equation - Wikipedia

   en.wikipedia.org/wiki/Quadratic_equation

   In some fields, some elements have no square roots and some have two; only zero has just one square root, except in fields of characteristic 2. Even if a field does not contain a square root of some number, there is always a quadratic extension field which does, so the quadratic formula will always make sense as a formula in that extension field.

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   Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

9. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   For example, the square root of a number is the same as raising the number to the power of and the cube root of a number is the same as raising the number to the power of . Examples are 4 = 4 1 2 = 2 {\displaystyle {\sqrt {4}}=4^{\frac {1}{2}}=2} and 27 3 = 27 1 3 = 3 {\displaystyle {\sqrt[{3}]{27}}=27^{\frac {1}{3}}=3} .