Introduction to imaginary numbers

All You Need in One Place

Everything you need for better marks in primary, GCSE, and A-level classes.

Learn with Confidence

We’ve mastered the UK’s national curriculum so you can study with confidence.

Instant and Unlimited Help

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

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.