### R.8 Radicals

1: The Basics of Simplifying Radicals

This video covers:

*Review of what are radicals/roots from R.1 Roots Video #4

*Review of how radicals/roots are the opposites of exponents

*How radicals simplify when there are negatives involved

Examples:

2: Simplifying Radicals with Variables (That Come Out Evenly), Radical Properties

This video covers:

*How to simplify radicals with variables (letters) in them

*The full details of how the radicals simplify and the shorter process to simplify them

*The properties associated with radicals

*How to handle roots with variables and negatives

*When you can and cannot combine and separate roots

Examples:

3: Simplifying Radicals That Don't Simplify Evenly - Good and Bad Pie (Part 1)

This video covers:

*How baking a pie can help you understand how to simplify radicals

*The full details of how the radicals simplify

*Why knowing squares/cubes/etc. can save you a lot of time

*Why you should use the largest square/cube/etc should be used in your good pie

Examples:

4: Simplifying Radicals That Don't Simplify Evenly - Good and Bad Pie (Part 2) - Examples

This video covers:

*Review of what all goes into your good pie and your bad pie

*Why knowing squares/cubes/etc. can save you a lot of time

*When to actually simplify your good pie

*This simple mistake of leaving off the root number

Examples:

5: Multiplying and Dividing Radical Expressions

This video covers:

*How to multiply and divide radicals using the properties learned in video #2

*Review of how to simplify radicals using good pie and bad pie

*When simplifying radicals is not the best first step

*A suggestion to review how to multiply and divide identical bases with exponents R.4 Video #2 Exponent Properties 1 and 2

Examples:

6: Adding and Subtracting Radical Expressions

This video covers:

*Review of like terms

*How to add and subtract radicals

*Review of how to simplify radicals using good pie and bad pie

*Reminder to copy all the details from step to step

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Examples:

7: Multiplying Polynomial Style Type of Radicals

This video covers:

*A hint to simplify identical square roots

*Review of multiplying polynomials R.5 Video #5 and #6

*Review of what not to do to kill puppies during math

Examples:

8: Rationalizing the Denominator - Simple Examples

This video covers:

*Review of how to simplify fractions

*How to rationalize the denominator when there isn't any addition or subtraction involved

Examples:

9: Rationalizing the Denominator with Addition or Subtraction

This video covers:

*How to rationalize the denominator when there is addition or subtraction in the denominator

*Review of the vocabulary word: conjugate

*How using the conjugate helps us to rationalize the denominator

*Reminder to simplify completely

Examples:

10: Rational Exponents

This video covers:

*Review of integer exponents

*What is a rational exponent

*Converting rational exponents to radical notations and simplifying

*Converting radicals/roots to rational exponents and simplifying

Examples: