Radical Expressions: Simplifying and Multiplying Techniques
Learn how to simplify radical expressions and multiply radicals using various techniques like radical notation, positive rational exponents, and the product rule for radicals. Practice examples and enhance your skills in this essential algebraic concept.
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Presentation Transcript
Check up Simplify the following: 144+25 1) -? 2x+1 2) Find g(4) if g(x) =
Check up 2 Use radical notation to rewrite. Simplify, if possible. 1 5 ( ) 3xy4 3) 2 3 ( ) -? 27 4)
Check up 3 Rewrite with positive rational exponents. 2x? y2 3 5) 6( ) 5 9x2y 6)
Chapter 7 Section 3 Multiplying and Simplifying Radical Expressions Page 525
Notice Multiplying Radicals 25 4 25 4 100 5 2 10 10
Product Rule for Radicals If and are real numbers, then a b = ab n n n n n a b Example: 3 7 3 7 21
Use Product Rule for Radicals a) 5 11 7 7 6x3 2x b)
Examples 5 75 64 5 25 3 32 2 5 5 3 3 2
Simplify Completely 80 a) 200x2y b)
Example x5y13z7 ( x4y12z6 xyz )xyz ( ) x4y12z6 x2y6z3? xyz
Multiply and Simplify 15 3 3 3 7 4 5 6 45 3 35 4 6 9 5 3 5
Try 12 2 a) 25x4y2 5xy12 3 3 b) 81x8y6 3 c)
Summary Multiply radicals multiply out and multiply inside Simplify factor and simplify
