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Math 71. 7.3 – Multiplying and Simplifying Radical Expressions. Product Rule for Radicals. ( Disclaimer: Only works when are real #s. Some restrictions apply. See stores for details.). Product Rule for Radicals. Ex 1. Multiply :. Product Rule for Radicals. Ex 1. Multiply :.
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Math 71 7.3 – Multiplying and Simplifying Radical Expressions
Product Rule for Radicals (Disclaimer: Only works when are real #s. Some restrictions apply. See stores for details.)
Product Rule for Radicals Ex 1.Multiply:
Product Rule for Radicals Ex 1.Multiply:
Product Rule for Radicals Ex 1.Multiply:
Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________
Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares
Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares perfect cubes
Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares perfect cubes perfect fourth powers
Simplifying Radicals Ex 2.Simplify:
Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.
Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.
Simplifying Radicals Ex 3.Simplify (assume that all variables are positive real numbers).
Simplifying Radicals Ex 4.Multiply and simplify (assume that all variables are positive real numbers):