Learning Resources
Lesson
Applications
This lesson introduces no new concepts. It combines the work on exponents and radicals and applies it to several examples.
Example 1
Simplify: 
Solution
Example 2
Simplify: 
Solution
Example 3
Simplify and write your answer in simplest radical form: 
Solution
In a earlier lesson, in order to multiply or divide radicals they had to have the same index. We now have a way to multiply and divide radicals which have different indexes by first converting them to exponential form and using the laws of radicals.
Example 4
Simplify. Write the answer as a single radical in simplest form: 
Solution
Example 5
Simplify: 
Solution
Since the denominator is irrational, we first rationalize the denominator. We can leave the expressions in rational exponent form to do this and multiply by a factor that will make the exponent in the denominator an integer.
Activity
Print off a copy of this page and add it to your Math 3103 binder. Then answer the questions in your binder.
Simplify each of the following. Leave answers in simplest exponential form.
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Simplify each of the following. Write the answer as a single radical in simplest form.
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Test Yourself
Simplify each of the following.
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