Writing complex numbers

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Writing complex numbers - PowerPoint PPT Presentation

Writing complex numbers. Unit 1: topic 3. VOCABULARY. Square root: A number r is a square root of a number if r 2 = s Radical: the symbol √ is a radical sign Radicand: the number beneath the radical sign Imaginary unit i : defined as i = √-1 i 2 = -1. VOCABULARY.

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Writing complex numbers

Unit 1: topic 3

VOCABULARY
• Square root: A number r is a square root of a number if r2 = s
• Imaginary unit i: defined as
• i = √-1
• i2 = -1
VOCABULARY
• Complex number: written in standard form a + bi
• a and b are numbers
• a is the real part
• b is the imaginary part
• Imaginary number
• If b ≠ 0, then a+ bi is an imaginary number
• Pure imaginary number
• If a = 0 and b ≠ 0, then a + bi is a pure imaginary number
Properties of square roots
• Simplify the expression
• Ex1: √8 * √6
• = √48
• = √48

2 24

2 12

2 6

2 3

• = 4√3
Properties of square roots
• EX 2: √5/36
• EX 3: √300
• EX 4: √20/81
Write complex numbers in standard form
• Ex1: √-9
• = √9 *√-1
• = 3i
• Ex2: √-12
• = √12 * √-1
• = 2√3 * i
• = 2i√3
• Ex3: 4 + √-16
• = 4 + √16 * √-1
• = 4 + 4i
Equality of Complex Numbers
• Ex1: 2x + 2yi = 6 + 4i
• Set real parts equal
• 2x = 6
• X = 3
• Set imaginary parts equal
• 2y = 4
• Y = 2