Study Guide

## Radicals, Powers, and Roots Introduction

Every surfer movie we've ever seen constantly has characters that use phrases like "gnarly waves," "surf's up," and "radical, dude." Lucky for you, after this chapter, you and surfers will have some of this exquisite vocab in common.

Okay, okay. Maybe you won't go around telling people their outfit today is totally gnarly, but at least you'll be able to use the word "radical" and know what it means. This chapter is all about powers, roots, and radicals. While you may have been able to gather that from the title, you may not have known that this means you'll be looking at exponent rules, properties of square roots, solving crazy exponential equations, and don't forget about graphing. We'll even introduce you to a gnarly new number, i. And yes, we just wrote the number i. So without further ado… surf's up!

## Radicals, Powers, and Roots Resources

### Videos

Let's Get Rational
It may seem lame for us to just give you a YouTube link, but this one is special. It's a link to one of PatrickJMT's videos. These are great, and there's a ton of him. Don't be afraid to check out his whole YouTube channel.

Developing a Complex
Extension time. This Virtual Nerd video shows you how to graph, yes graph, complex numbers. Check it out. It might be useful someday. Oh, and there are other Virtual Nerd videos too, just in case you're not quite ready to make the jump into imaginary mathematics.

### Tools

This could technically go under tools or videos, but there's a lot to do here. You can watch a 14-minute video all about radical equations, download a 27-question practice sheet, or just do a few guided practice problems right there. Don't be afraid to surf around for more topics.

Practice Makes Perfect
Need more radical practice? Here you go. CPM provides an overview in case you forget, a ton of practice problems, and even the answers. This gives a new meaning to the age-old expression, "simplifying radicals 'til you drop." You've heard that one, right?

There's a Calculator for That
Need to calculate an exponent? Here's your site. That's literally all it is. No frills; just the good stuff.