Imaginary Numbers

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What is an imaginary number?

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An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

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How do you multiply two complex numbers, for example, (3i)(-2+4i)?

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Multiply using the distributive property: (3i)(-2) + (3i)(4i) = -6i + 12(-1) = -6i - 12 = -12 - 6i.

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What is the relationship between real numbers and imaginary numbers?

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Real numbers can be represented on a number line, while imaginary numbers are represented on a perpendicular axis, forming a complex plane.