Lesson 2

Turn to “Example 1,” part b., on page 284 of the textbook to see how you can multiply mixed radicals with identical radicands.

 

Self-Check 2

 

Apply the rule you developed in Try This 2 to the following question.

1. Simplify the following radicals by multiplying. Verify the answer to 1.a. using a calculator and computing the numerical value of both the question and the answer. For what values of the variables in 1.b., 1.c., and 1.d. do the radicals represent real numbers?
   
   
   1. Answer
      
      
   2. Answer
      
      
   3. Answer
      
      
   4. Answer

Try This 3

 

When you divide the radical , will the answer be 8 or ?

1. Predict what the answer will be.
   
   
2. Design a way to test this and record your observations.
   
   
3. Based on your test, develop a rule to describe this situation.
   
   
4. Test your rule using different values.

Save your work in your course folder.

 

Share 3

 

Share the rule you developed in Try This 3 with a partner or group. How do your rules compare?

 

Save your work in your course folder.

 

Self-Check 3

1. Simplify the following radicals. Check the answer to 1.a. and 1.b. using a calculator and computing the numerical value of both the question and the answer.
   
   
   1. Answer
      
      
   2. Answer
      
      
   3. Answer
      
      
   4. Answer
      
      
2. For what values of the variables in 1.c. and 1.d. do the radicals represent real numbers? Answer