1. Binomial Radical Expressions

2. Like Radicals Have the same index and the same radicand. Examples
Can’t be done!

3. Adding and Subtracting Radical Expressions
To add and subtract like radicals, use the Distributive Property.
Examples
Can’t be added, not like radicands

4. Simplifying Before Adding or Subtracting
*Simplify the radical, then add or subtract

5. Multiplying Binomial Radical Expressions
Use FOIL to multiply
First Outer Inner Last

6. Conjugates
Expressions such as and that differ in only the sign of the second term.

7. Multiplying Conjugates

8. Rationalizing Binomial Radical Denominators
Sometimes you need to rationalize the denominator of a fraction when the denominator is a binomial radical expression
Multiply the numerator and denominator of the fraction by the conjugate of the denominator