Honors Algebra II with Trigonometry Mr. Agnew Radical Expressions Honors Algebra II with Trigonometry Mr. Agnew

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

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.

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.

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

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

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

Homework Homework 7.3: Radical Expressions (1)

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

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

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

Homework: Homework 7.4: Radical Expressions (2)