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In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .
In the first example of an improper fraction one has + + + = (+) + +, where the second term is a proper rational fraction. The sum of two proper rational fractions is a proper rational fraction as well. The reverse process of expressing a proper rational fraction as the sum of two or more fractions is called resolving it into partial fractions ...
Considering the rational fractions with real coefficients, radical expressions representing numbers, such as / , are also rational fractions, as are a transcendental numbers such as /, since all of ,, and are real numbers, and thus considered as coefficients.
For example, a quadratic for the numerator and a cubic for the denominator is identified as a quadratic/cubic rational function. The rational function model is a generalization of the polynomial model: rational function models contain polynomial models as a subset (i.e., the case when the denominator is a constant).
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Joe Jonas loves being a dad to his girls. On Friday, Dec. 6, the musician, 35, opened up about his life as a father at an Art Basel/ Miami Art Week event called The Wellness Oasis™, presented by ...
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