How to rationalize expressions
To rationalize a denominator, start by multiplying the numerator and denominator by the radical in the denominator. Then, simplify the fraction if necessary. If you're working with
To rationalize a denominator, start by multiplying the numerator and denominator by the radical in the denominator. Then, simplify the fraction if necessary. If you're working with
In the case of rational expressions, we can input any value except for those that make the denominator equal to (since division by is undefined). In other words, the domain of a rational
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Just as the fraction 6/8 is written in lowest terms as 3/4, rational expressions may also be written in lowest terms. This is done with the fundamental principle. Example 1. Write each expression
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rationalize\:\frac{1}{\sqrt{x}} rationalize\:\frac{1}{i+2} rationalize\:denominator\:\frac{\sqrt{x}+1}{\sqrt{x}-1}
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So this is how to know if a rational expression is proper or improper: Proper: the degree of the top is less than the degree of the bottom. Proper: 1 x + 1. deg (top) < deg (bottom) Another
Math can be tough to wrap your head around, but with a little practice, it can be a breeze!
Mathematics is the study of numbers, shapes, and patterns.
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