# Writing complex numbers - PowerPoint PPT Presentation

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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 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

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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

• 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