Introduction to imaginary numbers

All in One Place

Everything you need for JC, LC, and college level maths and science classes.

Learn with Ease

We’ve mastered the national curriculum so that you can revise with confidence.

Instant Help

24/7 access to the best tips, walkthroughs, and practice exercises available.

0/2
?
Examples
Lessons
  1. Simplify the roots of negative numbers

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

        \blacksquare\; i5i^5
        \blacksquare\; i200i^{200}
        \blacksquare\; (3i2)4(\frac{3i}{2})^4
      Topic Notes
      ?
      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.