

How to Simplify RadicalsVideo Tutorial with practice problems
Some Necessary Vocabulary
The radicand refers to the number under the radical sign. In the radical below, the radicand is the number '5'.
Video in How To Simplify Radicals
Simplify Radicals worksheet(25 question pdf with answer key on how to simplify radicals) This Page: : Practice Simplifying Radicals  Simplifying Radicals with coefficients Related Links: Radicals home  Simplify Radicals calculator
Some Necessary Background Knowledge
I. Know your Perfect Squares! Before you learn how to simplify radicals,you need to be familiar with what a perfect square is. Also, you should be able to create a list of the first several perfect squares. This is easy to do by just multiplying numbers by themselves as shown in the table below.
II. You can rewrite a radical as the product of two radical factors of its radicand ! That's a very fancy way of saying that you can rewrite radicals as shown in the table below
How to Simplify Radicals Steps
Simplify the radicals below
Let's look at to help us understand the steps involving in simplifying radicals.
Practice problem 1) Simplify
problem 2) Simplify
3) Simplify
4) Simplify
5) Simplify
6) Simplify
7) Simplify
cannot be simplified because this radicand (26) does not have any perfect square factors. Therefore, you cannot simplify it.
Simplify Radicals worksheet(25 question pdf with answer key on how to simplify radicals)
This Page: : Practice Simplifying Radicals  Simplifying Radicals with coefficients Related Links: Radicals home  Simplify Radicals calculator
How to Simplify Radicals with Coefficients
Practice Simplifying Radicals with Coefficients
Let's look at to help us understand the steps involving in simplifying radicals that have coefficients. All that you have to do is simplify the radical like normal and, at the end, multiply the coefficient by any numbers that 'got out' of the square root.
Problem 1) Simplify
Problem 2) Simplify
3) Simplify
