Rationalizing Denominators in Radical Expressions


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question 1 of 3

Which expression is the conjugate of the following?

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1. What is the smallest term that could be multiplied to this term to create a perfect square?

2. Simplify the following expression.

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About This Quiz & Worksheet

Radical expressions can be complicated enough as is, but when that radical is itself within a fraction it gets even more convoluted. This quiz will test you on what you've learned in order to simplify a radical expression when it requires rationalizing the denominator.

Quiz & Worksheet Goals

This quiz tests your ability to:

  • Recognize the conjugate of a given expression
  • Determine the smallest term that could be multiplied to a given radical expression to create a perfect square
  • Simplify expressions that require rationalizing a denominator

Skills Practiced

  • Reading comprehension - draw from the most pertinent information found in the lesson on rationalizing denominators in radical expressions
  • Critical thinking - use this information to consider what the smallest term is that could be multiplied to a radical expression
  • Problem solving - simplify a series of radical expressions where you rationalize denominators

Additional Learning

The lesson called Rationalizing Denominators in Radical Expressions can help you to:

  • Explain when a radical expression is finished
  • Define monomial
  • Provide examples of simplifying expressions