Subtracting Square Roots


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question 1 of 3

When subtracting square roots to get an exact answer, what part of the square roots do you need to compare in order to see if they can be subtracted?

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1. Assuming you want an exact answer, solve the following subtraction problem for its simplest form.

2. Assuming you want an exact answer, solve the following subtraction problem for its simplest form.

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About This Quiz & Worksheet

Check your understanding of using subtraction in problems involving square roots with this quiz and worksheet. You'll also review solving problems for their simplest forms.

Quiz & Worksheet Goals

The focus of this quiz and worksheet is to test what you know about:

  • The part of the square roots that needs to be compared in order to subtract
  • The difference in solving when the radicand is the same or different
  • Solving square roots for the simplest form

Skills Practiced

  • Information recall - see if you can remember what the first step to solving these problems is
  • Knowledge application - review what you know about solving square root problems to answer a question about solving for the cube of a number
  • Problem solving - use what you know about subtracting the square roots to solve problems for the simplest form

Additional Learning

Learn more about this topic in the accompanying lesson, Subtracting Square Roots. This lesson offers a more comprehensive look at:

  • What square roots need to have the same in order to subtract
  • The three parts of a root
  • Exact answer vs. approximation
  • What a perfect square is