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 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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vocabulary
VOCABULARY
  • Square root: A number r is a square root of a number if r2 = s
  • Radical: the symbol √ is a radical sign
  • Radicand: the number beneath the radical sign
  • Imaginary unit i: defined as
    • i = √-1
    • i2 = -1
vocabulary1
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
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 roots1
Properties of square roots
  • EX 2: √5/36
  • EX 3: √300
  • EX 4: √20/81
write complex numbers in standard form
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
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
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