Simplifying the Square Root of 50


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What is the simplified version of the square root of 50?

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1. If you have a base of 7 with an exponent of 4 underneath the square root symbol, what will the base and exponent be when you move them out from underneath the square root symbol?

2. What is the simplified version of the square root of 12?

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About This Quiz & Worksheet

Take this quiz and look over the worksheet to find out how comfortable you are with simplifying square roots. Practice questions ask you to rewrite square roots in their simplest form and translate a base and exponent pair into a simplified square root.

Quiz & Worksheet Goals

This quiz aims to test your knowledge of:

  • Writing the simplified version of square roots
  • The relationship between bases, exponents and roots

Skills Practiced

  • Problem solving - practice simplifying square roots
  • Interpreting information - correctly interpret bases and exponents in square roots to solve a square root simplification word problem
  • Knowledge application - use what you know about factoring and square roots to simplify the square root of other numbers

Additional Learning

Review the process of simplifying square roots by reading the lesson called Simplifying the Square Root of 50. This lesson summarizes the following:

  • A real-world example of when you might need to simplify a square root
  • Steps for simplifying the square root of the number 50
  • How to factor a square root until you are left with only prime numbers