1. Lesson 2

1.8. Explore 4

Mathematics 20-1 Module 5

Module 5: Radicals

 

Simplifying Radicals by Multiplying and Dividing

 

In Try This 2 and 3 you developed and tested the following rules:

 

Radicals can be simplified by multiplying and dividing if they have the same index: 

  • Multiply the coefficients and multiply the radicands, .

  • Divide the coefficients and divide the radicands .
In the case of division, n must be a natural number, b and y cannot equal zero, and a, b, x, and y must be real numbers. If n is even, x ≥ 0 and y > 0.


formula

Add these rules to your copy of Formula Sheet.

Skip forward to Connect if you feel you have a solid understanding of how to

  • simplify a complex radical by correctly performing addition, subtraction, multiplication, and/or division

  • identify the values of the variable for which a given radical expression is defined

If you need a bit more practice, complete Self-Check 4.

 

Self-Check 4


textbook
Complete any or all of questions 9, 10, 12, and 14 from “Practice” on pages 279 and 280, as well as questions 1, 6.a., 6.b., 6.c., and 16 on pages 289 to 291 of the textbook. As you finish each part of a question, check your work against the answers given at the back of the textbook. If you are still unclear about how to answer some questions, ask your teacher about those questions and get some help.