Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Quadratic Equations » Square Roots

# Introduction to Square Roots

## Tip

## Why did I stress that if you want a negative square root, that the negative sign must be outside of the radical sign?

## What Happens When You Take the Square Root of a Fraction?

## Other Quadratic Equations Lessons You Might Like

# Like This Page?

In the exponents unit we took a close look at exponents and powers. You may want to review the lesson on exponents before starting this lesson.

Let's get started.

Another term for raising a number to the 2nd power is **"squaring a number"**. For example:

2^{2} = 4. This can be read as 2 "squared" equals 4. This means that 2 x 2 = 4.

3^{2} = 9. This can be read as 3 "squared" equals 9. This means that 3 x 3 = 9.

4^{2} = 16. This can be read as 4 "squared" equals 16. This means that 4 x 4 = 16.

As you've probably discovered in Math, there is always an "opposite" operation. So, can you guess the opposite operation for "squaring" a number?

You've got it - taking the **"square root"** is the **opposite** of **squaring a number**!

Let's take a look at the symbols.

Before we dig in, let's look at some familiar vocabulary. The symbol used for identifying roots is called the **radical sign**.

The number inside the radical sign is called the **radicand.**

When you start Algebra 2, you will also learn that if you are working with cube roots, or fourth roots..., there will be another number called the index. We'll worry about the index later.

Take a look at the diagram below to further explain these definitions.

Take a look at the chart below for a list of the most common square roots.

It is a common mistake to identify the square root of 4 as 2 and -2.

Typically when working with square roots, we only want to identify the "principal square root" which is the positive answer only.

Wow! We've covered a lot in this lesson, but let's look at one more example.

When you take the square root of a fraction, simply take the square root of the numerator and the square root of the denominator. The answer remains a fraction. Take a look at the following examples.

Wow! We've accomplished a lot, and there's a lot more to learn. But, we'll take it one step at a time, and soon you'll have a solid understanding of quadratics.

Now, you are ready to start our first lesson on solving quadratic equations.

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam
- Square Roots and Radicals

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!