Radicals and complex numbers

Introduction

A radical is an $n$th root of a number or expression; the $n$th root of $a$ is written $\sqrt[n]{a}$. This chapter covers nth roots and rational exponents, multiplying and dividing radicals, solving radical equations, and complex numbers.

Sections in this chapter

n^th roots

Square roots, the radical sign, the nth root, simplifying radicals, radical functions, and graphing a radical function.

Rational exponents

Rational exponents and their rules, the multiplication property of radicals, and adding and subtracting radicals.

Multiplication of radicals

Multiplying radicals and simplifying the products.

Division of radicals

Dividing radicals and rationalizing the denominator.

Radical equations

Solving radical equations.

Complex numbers

Complex numbers and the imaginary unit.