Introduction to imaginary numbers

Introduction to imaginary numbers

Have you ever run into a situation where you want to find the square root of a negative number, but the calculator gives you nothing but a big error? Well, we will explore the meaning of this error from a different perspective. In this section, we will introduce the notion of imaginary numbers, and how to simplify them.
Basic Concepts: Converting radicals to mixed radicals, Product rule of exponents, Power of a product rule
Related Concepts: Imaginary zeros of polynomials

Lessons

  • 1.
    Simplify the roots of negative numbers

    ■\blacksquare\; −16\sqrt{-16}
    ■\blacksquare\; −40\sqrt{-40}
    ■\blacksquare\; (−9)32(-9)^{\frac{3}{2}}
  • 2.
    Simplify the following imaginary numbers with high powers

    ■\blacksquare\; i5i^5
    ■\blacksquare\; i200i^{200}
    ■\blacksquare\; (3i2)4(\frac{3i}{2})^4
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15.
Imaginary and Complex Numbers
15.1
Introduction to imaginary numbers
15.2
Adding and subtracting complex numbers
15.3
Multiplying and dividing complex numbers
15.4
Complex conjugates
CLEP College Algebra
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