1. Honors Algebra II with Trigonometry
Radical Expressions
Honors Algebra II with Trigonometry

2. Essential Question Essential Vocabulary
How do you perform operations on radical expressions?
Essential Vocabulary
Radical expression
Radicand
Index
Rationalize denominators

3. Terminology radical sign index radicand Index Rules for REAL Numbers:
When the index is even, the radicand must
be positive. (If not, undefined)
When the index is odd, the radicand can
be either positive or negative.

4. Working with Radicals For any negative real number a, when n is even….
In other words, put absolute value symbols around a variable when you go from even index to odd exponent outside.

5. Rule to Remember Rule for ± sign
ONLY used when solving an equation and taking an even root of both sides

6. Multiplying Radical Expressions
You can multiply two radical expressions with the same index.
Given the same index, multiply radicands and simplify result.

7. Dividing Radical Expressions
When we divide radicals, we are really RATIONALIZING the denominator.
To rationalize, you multiply both the numerator and the denominator by the expression needed to remove the radical from the denominator

8. Homework
Homework 8.1 Worksheet

9. Essential Question Essential Vocabulary
How do you perform operations on radical expressions?
Essential Vocabulary
Radical expression
Radicand
Index
Rationalize denominators

10. Operations on Radicals
You can add & subtract like radicals.
Same index and Same radicand.
Multiplying and dividing requires the same index only.

11. Operations on Radicals
Multiplying binomial radical expressions: FOIL and combine like terms.
Dividing binomial radical expressions: RATIONALIZE.

12. Homework:
Homework 8.2 Worksheet