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