# Chapter 6 Radical Functions and Rational Exponents.

## Presentation on theme: "Chapter 6 Radical Functions and Rational Exponents."— Presentation transcript:

Chapter 6 Radical Functions and Rational Exponents

6-3 Binomial Radical Expressions What you’ll learn … To add and subtract radical expressions To multiply and divide binomial radical expressions 1.01 Simplify and perform operations with rational exponents and logarithms (common and natural) to solve problems.

Example 1 Adding and Subtracting Radical Expressions 5 √ x - 3 √ x 4 √ xy + 5 √ xy 4 √ 2 - 5 √ 3 7 √ 5 - 2 √5 2 √ 7 + 3 √ 7 33 4 3

Example 2 Simplifying Before Adding or Subtracting 6 √ 18 + 4 √ 8 - 3√ 72 √ 50 + 3 √ 32 - 5 √ 18

Example 4 Multiplying Binomial Radical Expressions (3 + 2√ 5 ) ( 2 + 4 √ 5 ) (√ 2 - √ 5 ) 2

Example 5 Multiplying Conjugates (2 + √ 3 ) ( 2 - √ 3 ) (√ 2 - √ 5 ) (√ 2 + √ 5 )

Example 6 Rationalizing a Binomial Radical Denominator 3 + √5 1 - √5 6 + √15 4 - √15

Homework p378 # 13-19, 25-36, 38, 43, 46 Quiz on Friday Assignment due on Monday