Dividing Radical Expressions – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

This exercise will soon be on your smartphone!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem.

In order to divide radical expressions, we must simplify them. So knowing tools for simplifying radical expressions is key to dividing them.

The most important tool for dividing radical expressions is the quotient property of square roots.

This property states that √a / √b =√(a/b).

The quotient property of square roots can be used when simplifying or performing operations like division in radical expressions.

Specifically, √a / √b = √(a/b) can be used when a and b are not perfect squares and a/b is a rational number.

Also, √(a/b) = √a / √b can be used when a/b is not a perfect square, but separately a and b are rational numbers.

It is important to remember that the final result of dividing radical expressions must be in simplest radical form as well.

This video will show examples that explain how to use the quotient property of square roots for division of radical expressions.

Expressions and Equations Work with radicals and integer exponents.


Go to Video Lesson
Exercises in this Practice Problem
Calculate the time it takes to travel the dotted path.
Explain how to simplify $(-6\sqrt{20})\div(2\sqrt 5)$.
Find the length of the hypotenuse $c$.
Solve the radical equations.
Simplify the given radical expressions.
Identify the simplified form of the radical expressions.