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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Writing complex numbers

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Writing complex numbers

Writing complex numbers

Unit 1: topic 3


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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