Simplifying Square Roots When not a Perfect Square


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question 1 of 3

Which number is an imperfect square?

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1. Simplify: √192

2. Simplify: √1152

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About This Quiz & Worksheet

This quiz will help you practice working with square roots that are not perfect squares by requiring you to recognize, factor, and simplify square roots whose solutions are not integers.

Quiz & Worksheet Goals

In this assessment you will be tested on your ability to work with imperfect square numbers by:

  • Identifying imperfect squares
  • Simplifying imperfect square roots
  • Factoring imperfect squares

Skills Practiced

This quiz and worksheet allow students to practice the following skills:

  • Problem solving - use acquired knowledge to solve imperfect squares practice problems
  • Interpreting information - verify that you can view information regarding simplifying square roots and interpret it correctly
  • Knowledge application - use your knowledge of factor trees and writing imperfect squares to simplify the square root of a number or choose the correct factorization.

Additional Learning

See the accompanying lesson called Simplifying Square Roots When not a Perfect Square to learn more about imperfect squares, including:

  • The rules for writing imperfect squares
  • The definition of perfect and imperfect square roots
  • How to evaluate and simplify the square root of an imperfect square
  • Using factor trees