Divide Radicals Worksheets

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There are five sets of radical expressions worksheets:

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to divide radical expressions worksheets.

How to divide radical expressions worksheets?

There are three sets of dividing radical expressions worksheets.

  • Divide Radical Expressions worksheets (Divide Monomial by Monomial)
  • Divide Radical Expressions worksheets (Divide Binomial by Monomial)
  • Divide Radical Expressions worksheets (Divide Binomial by Binomial)

When you need to multiply and divide radical expressions, it’s important to follow the order of operations. You perform multiplication and division before addition and subtraction. Here’s how you can handle division of radical expressions:

Division of Radical Expressions:
To divide radical expressions, follow these steps:

  1. Divide the Coefficients: Divide the coefficients (numbers outside the radical) of the two expressions you’re dividing.
  2. Divide the Radicands: Divide the radicands (expressions under the radical sign) of the two expressions you’re dividing.
  3. Combine and Simplify: Combine the result from step 1 with the result from step 2. If possible, simplify the resulting expression further by factoring out perfect squares from the radicand.
  4. If the denominator has a radical then rationalize the denominator.

Remember to apply the order of operations correctly and simplify the expressions whenever possible.

Dividing Radicals

Have a look at this video if you need to review how to rationalize the denominator of a radical expression.

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Radical Expression Worksheets.

Divide Radical Expressions Worksheet

More Radical Expressions Worksheets

(Answers on the second page.)
Divide Radical Expressions Worksheet #1 (Divide Monomial by Monomial)
Divide Radical Expressions Worksheet #2 (Divide Binomial by Monomial)
Divide Radical Expressions Worksheet #3 (Divide Binomial by Binomial)

Divide Radical Expressions
Dividing Radicals

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