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Dividing complex numbers is mathematically similar to the division of two real numbers. We need to find a term by which we can multiply the numerator and the denominator that will eliminate the imaginary part of the denominator so that we end up with a real number in the denominator.
Free Divide Complex Numbers Calculator - Divide complex expressions using algebraic rules step-by-step.
How to Divide Complex Numbers. Interactive Examples and practice problems explained step by step.
Understand how to divide complex numbers step-by-step. Find the conjugate of the denominator, multiply the numerator and denominator, then simplify.
Dividing complex numbers in rectangular form. To divide two complex numbers in rectangular form (a+ib form), use the formula: \small \begin {align*} z_1 / z_2 & = \frac {a + \mathrm {i}b} {c + \mathrm {i}d} \\ [0.75em] & = \frac {a c + b d + \mathrm {i} (b c - a d) } {c² + d²} \end {align*} z1/z2 = c + ida + ib = c² +d²ac + bd + i(bc −ad)
To divide a complex number means rationalizing the denominator of the complex number. It is done by multiplying the numerator and the denominator by the complex conjugate of the denominator. This will eliminate the imaginary part, giving a real number at the end.
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