# Square Roots and Radicals 17

Taught by YourMathGal
• Currently 4.0/5 Stars.
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Lesson Summary:

In this lesson on Square Roots and Radicals, we learn how to divide with higher order roots using the quotient rule. The instructor explains how to rationalize the denominator for monomials with higher order roots in the denominator. By factoring and multiplying the numerator and denominator by the appropriate factors, we can simplify expressions involving cube roots and 4th roots. The lesson includes examples with variables and emphasizes the importance of having the correct number of factors underneath a root in order to simplify the expression.

Lesson Description:

Square Roots and Radicals Part 17 covers dividing with higher order roots using the quotient rule. Explains rationalizing the denominator for monomials with higher order roots in the denominator.

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

• How do you divide radical expressions and rationalize the denominator of fractions with higher order roots?
• How do you simplify the cube root of 8/27?
• How do you simplify the cube root of -8/27?
• How do you simplify and rationalize the denominator of the cube root of 1/4?
• How do you simplify and rationalize the denominator of 3/(the cube root of 6)?
• How do you rationalize the denominator with cube roots and variables with exponents?
• How do you simplify and rationalize the denominator of the fourth root of 3/2?
• How do you rationalize the denominator with fourth roots?
• How do you simplify and rationalize the denominator of the cube root of 5/9?
• How do you simplify and rationalize the denominator of the cube root of 1/3y^10?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains the same topics as the last few lessons have described, but this time, higher order roots are used. Instead of just square roots, we will now be working with cube roots, fourth roots, and other roots higher than 2. Similar methods are used for rationalizing the denominator and simplifying, but the techniques are a bit different. Many good example problems are done in this lesson and all steps are explained very well.
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