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1.1 Write Complex Numbers

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Vocabulary A number r is a square root of a number s if r 2 = s. The expression is called a radical. –The symbol is a radical sign and the number s beneath the radical sign is the radicand of the expression.

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Vocabulary Product Property of Radicals Quotient Property of Radicals

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Vocabulary The imaginary unit i is defined as

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Vocabulary A complex number written in standard form is a number a + bi where a and b are real numbers. –The number a is the real part of the complex number, and the b number is the imaginary part. –Example: 2 + 3i Real Part Imaginary Part

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Vocabulary If b = 0, then a + bi is an imaginary number. If a = 0 and b = 0, then a + bi is a pure imaginary number. –0 + bi = bi (there is not an real part…NO “a”)

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Vocabulary Two complex numbers a + bi and c + di are equal if and only if a = c and b = d. For example, if x + yi = 5 – 3i, then x = 5 and y = -3

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Example 1: Simplify the expression a) b)

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Example 2: Write complex numbers in standard form a) b) c) d)

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Example 3: Find real numbers x and y to make the equation true. 1)4x – 4yi = 8 – 12i 2)5x + 3yi = 10 + 18i

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Classwork Out of your notetaking guide pg. 4 – 5 ALL

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