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.

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