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Get Started Now- Lesson: 110:19
- Lesson: 28:24

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,

- 1.Simplify the roots of negative numbers

$\blacksquare\;$ $\sqrt{-16}$

$\blacksquare\;$ $\sqrt{-40}$

$\blacksquare\;$ $(-9)^{\frac{3}{2}}$ - 2.Simplify the following imaginary numbers with high powers

$\blacksquare\;$ $i^5$

$\blacksquare\;$ $i^{200}$

$\blacksquare\;$ $(\frac{3i}{2})^4$

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