Simplifying Radicals Worksheet

The following “Simplifying Radicals” quizzes and practice tests help you to check your knowledge level. There are three difficulty levels.

These quizzes are good for learning as each question has a “clue” or “rule” included.

Just take your time and learn how you can apply these “rules” to the corresponding question. You will learn to “figure out” the right answers to all of the questions.

You can take the quizzes as often as you would like. Just repeat the quizzes until you are able to apply all the rules of “Simplifying Radicals” to the questions in the quizzes.

Rules for Simplifying Radicals

A Radical is the combination of a radicand and an index.

Now, the Addition of Radicals really is simple when the radicands and the index are identical. If not, start simplifying the radicals before you add them.

And Multiplication is not depending on the same radicand but counts for the same index. In some problems, you would need to have some knowledge of exponents.

Now with Division of Radicals, you need to simplify your radicals and cancel like radicals.

Keep in mind that Radicals are also referred to as Surds.

You need to simplify the radicals. Radicals are in their simplest form when the number you find under the root sign doesn’t have a perfect square as a factor. For example: √28 =2√7. The answer explanation is: √28 = √(7×4)= 2√7.

Rationalizing the Denominators: To rationalize the denominator is, when dealing with radicals, the most important concept.

Repeating and practicing are the keys to unlock your learning potential. So to improve your skills, navigate through these quizzes as often as you like.

You can take these quizzes as many times as you would like.

Just repeat the quizzes until you are able to apply all rules on “Simplifying Radicals” to the questions in the quizzes.

The main goal of this sort of tasks is to help you explore topics, think outside your box, and learn to apply your knowledge.

You may very well enjoy these online quizzes and share them with other students for additional practice for “Simplifying Radicals”.