Square Roots and Radicals 6

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
5986 views | 1 rating
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Lesson Summary:

In this Square Roots and Radicals 6 lesson, you'll learn how to break down square roots of variable expressions with exponents by pulling out perfect squares. The key is to pick the largest perfect square factor of the number inside the square root, and then break down the remaining variable into even exponents. You can also use a factor tree to find the prime factorization of the number inside the square root if you're unsure. Practice problems are provided to help you master this technique.

Lesson Description:

Learn how to break down square roots of variable expressions with exponents by pulling out perfect squares.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • How do you simplify square roots of variable expressions?
  • How can you break down the square root of 48x^8n^5?
  • How can you break down the square root of 48 by making a factor tree?
  • How would you simplify 4x^2m*sqrt(63x^2m^7)?
  • How do you simplify -5x^4*sqrt(8x^2y^9)?
  • What does 4x*sqrt(28x^2) equal?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson goes through some much more complicated example problems. You will learn to find the square root of variable expressions that include numbers, variables, and exponents. You will learn how to pull out perfect squares from the number as well as the variable expression. This is a great tutorial for what can be a very complicated lesson.