Math 10C Module 2 Lesson 3

Module 2: Roots and Powers

 

Discover

 

In the Discover section of the previous lesson you looked at how you could rearrange the prime factors of given numbers. In doing so, you discovered you could identify perfect squares and perfect cubes. You could also determine the square roots and cube roots of those numbers.

The Discover section in this lesson is again based on prime factorization. This time you will focus on the number of prime factors possessed by perfect squares.

Try This 1 - 4

 

Complete the following questions in your course folder ( binder).
TT 1. Determine the prime factorization of the following numbers:

6, 12, 20, 25

TT 2. Now determine the prime factorization of the squares of the numbers in TT 1.

TT 3. Form a hypothesis for the number of prime factors in the prime factorization of perfect squares.

TT 4. Test your hypothesis with other perfect squares. Can you find a counterexample?

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

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

 

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