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In this educational overview, we delve into Chapter 11.4 on multiplying radical expressions. Using examples from the textbook, we simplify expressions with radical exponents, demonstrating key concepts such as √ab = √a ∙ √b. We work through exercises like √3 × √25, leading to √125 and ultimately presenting the simplified form, 5√5. Additionally, we tackle more complex expressions involving variables, highlighting techniques to factor out perfect squares. This guide provides a step-by-step approach to enhance understanding and mastery of multiplying radicals.
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Chapter 11- Section 4Multiplying Radical Expressions By: Jarrett Dang 3/14/13 Period 2
Objective • Use examples from the textbook to solve show the concepts of Chapter 11.4 • Simplify expressions with radical exponents
Basic Equation of 11.4 √ab= √a ∙ √b
Textbook Pg. 496 #2 √3 × √25 = √3×25 = √3×25 – multiply the radicals together = √125 = √5 × √25 – split up the perfects and the non-perfects = 5√5 – factor out a 25 from the expression
Textbook Pg. 526 #32 √2x² × √5x⁵ = √2x² × 9x⁵ = √2 × 5 × x⁶ × x = √ 10 × x⁶ × x = √x⁶ × √10x - split up the perfects = x³√3x - factor out perfects (x⁶)
Textbook Pg. 496 #42 (√2y)(√3)(√8y) = √2y × √3 × √8y = √6y × √8y - multiply √6y and √3 = √48y² - multiply √6y and √8y = 4y√3 - factor out 16 and y²
