1. Lesson 1

1.6. Discover 3

Mathematics 20-2 M5 Lesson 1

Module 5: Radicals

 
Try This 2
 

Use a calculator to complete the Multiplying Radicals Chart.

 

Remember that you may need to include brackets in your calculator to get the correct answers. For example, to enter , you will need to include brackets around the radicands. The following keystrokes will be needed for most calculators:

 

 

This shows the keystrokes needed to enter the square root of 1 times the square root of 2 into a calculator.

 

You will see the following result.

 

This shows the results of the keystrokes used previously to find the square root of 1 times the square root of 2. The answer is 1.414213562.

 

Share 1
 

Based on your observations from the Try This 2 activity, work with a partner to create a rule that applies to the multiplication of radical expressions.

 

course folder

 

Place a copy of your rule in your course folder. You will refer to it later in the lesson.

 

Try This 3
 

The Simplifying Radicals Chart is the same as the one you completed in the Try This 1 activity, but now two columns have been added. You now have the knowledge required to fill in the final two columns.

 

Answers

 

Share 2
 

Compare your results from the Try This 3 activity with another student or appropriate partner. Once you have come to an agreement on the correct answers, discuss the following.

  1. What would be a good strategy to use in writing entire radicals as mixed radicals without using the applet?

  2. What can you learn from the Try This 3 activity that would help you to write mixed radicals as entire radicals?

  3. What would be a good strategy to use in determining whether or is larger?

Summarize your discussion by creating a general procedure for writing entire radicals as mixed radicals.

 

course folder

 

Place a copy of your answers in your course folder.



textbook

Read “Example 2: Expressing a radical in simplest form” on pages 178 and 179 of your textbook. As you read, consider how the strategies used in Calvin’s solution compare to the strategies you identified in the Share 2 activity.

 

Did You Know?

Square Root Day occurs very rarely when both the day of the month and the month of the year are the square root of the last two digits of the year. In each century, there are nine dates when this occurs. In this century, Square Root Days are January 1, 2001 (1/1/01); February 2, 2004 (2/2/04); March 3, 2009 (3/3/09); April 4, 2016 (4/4/16); May 5, 2025 (5/5/25); June 6, 2036 (6/6/36); July 7, 2049 (7/7/49); August 8, 2064 (8/8/64); and September 9, 2081 (9/9/81).