Math 10C Module 2 Lesson 2

Module 2: Roots and Powers

 

Discover

 Recall the method of prime factorization from the previous lesson. Use this method to complete the Try This investigation.

 

Try This 1 - 4

           

TT 1. Complete Steps 1 to 3 for the number 36.

        Step 1: Generate the prime factorization for the number.

        Step 2: Rearrange the prime factors into two identical groups.

        Step 3: Evaluate the product of the factors in each group.

TT 2. Repeat Steps 1 to 3 for the following numbers:

        a.   81     

        b.   144

TT 3. Generate the prime factorization for the following numbers:

        a.   30     

        b.   56         

TT 4. Can you rearrange the prime factors of these numbers into identical groups as you did for the numbers in TT 1 and TT 2? Explain.

Use the link below to check your answers to Try This 1 - 4.

Possible TT1-4 (Try This 1-4) Solutions

 

Share

 

Discuss your results with a classmate or in a group ( if possible) . In your discussion, address the following questions:

  1.   What is the difference between the numbers examined in TT 1 and TT 2 and the numbers in TT 3 and TT 4?      

  2.   In Step 3, how is the product of the factors in each identical group related to the original number?      

  3.   a.   How can you use prime factorization as a method to determine that a number is a perfect square?

        b.   How can you use prime factorization as a method to determine the square root of a number?

 

Save a copy of your revised work in your course folder ( binder). You will be referring to these results in a later part of the lesson. If you do not have access to another student, or an appropriate partner with whom to share your work, use the provided answers below to check your work.

Possible S1 Answers

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