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6 paź 2021 · To divide complex numbers, we apply the technique used to rationalize the denominator. Multiply the numerator and denominator by the conjugate of the denominator. The result can then be simplified into standard form \(a + bi\).
Radical Equation Word Problems - Examples & Practice. Many radical equation word problems use the Pythagroean Theorem. Translate the problem into math, then solve.
6 paź 2021 · Dividing Radical Expressions. To divide radical expressions with the same index, we use the quotient rule for radicals. Given real numbers \(\sqrt [ n ] { A }\) and \(\sqrt [ n ] { B }\), \(\frac { \sqrt [ n ] { A } } { \sqrt [ n ] { B } } = \sqrt [n]{ \frac { A } { B } }\)
Dividing complex numbers uses a technique you used when rewriting a fraction that contains a radical in the denominator. We called it rationalizing a denominator. To accomplish it, you multiplied the fraction in the numerator and denominator by a number that would clear the radical in the denominator.
There is one catch to dividing with radicals: it is considered bad practice to have a radical in the denominator of a final answer, so if there is a radical in the denominator, it should be rationalized by cancelling or multiplying the radicals.
We see how to multiply radicals and how to simplify the answer. We also see how to rationalize denominators, which is necessary when dividing with radicals.
Dividing Complex Numbers. Dividing two complex numbers is more complicated than adding, subtracting, or multiplying because we cannot divide by an imaginary number, meaning that any fraction must have a real-number denominator to write the answer in standard form a + bi.
