The square root

6 videos
5 skills
A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root? How can I simplify, multiply and add these things? This tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!

Understanding square roots

VIDEO 1:21 minutes
Understanding Square Roots

Square roots of perfect squares

PRACTICE PROBLEMS
Practice finding the square root of a perfect square positive integer.

Approximating square roots to hundredths

VIDEO 7:12 minutes
Learn how to approximate the decimal value of √45 without using a calculator.

Approximating square roots

PRACTICE PROBLEMS
Practice finding the approximate value of square roots by thinking about perfect squares.

Simplifying square roots

VIDEO 3:09 minutes

Simplifying radicals

VIDEO 9:45 minutes
Using exponent rules to simplify radicals or square roots

Simplify numerical radical terms

PRACTICE PROBLEMS
Simplify numerical radical terms by removing all factors that are perfect squares from inside the radical.

Add, subtract, multiply, and divide numerical radical terms

PRACTICE PROBLEMS
Practice simplifying radical expressions with two terms.

Adding and simplifying radicals

VIDEO 7:57 minutes
More Simplifying Radical Expressions

Simplify numerical radical expressions with multiple terms

PRACTICE PROBLEMS
Practice simplifying expressions with multiple radical terms combined by addition, subtraction, multiplication, and/or division.