1. Math 20-1 Chapter 5 Radical Expressions and Equations
Teacher Notes
5.2 Multiply and Divide Radicals

2. Multiply or Divide Notice the coefficients are multiplied and
the variables are multiplied.
x must be a number greater or equal to zero.

3. ( ) ( ) = 5.2 Multiply and Divide Radical Expressions
Product Property
Note Domain: When k is even
a ≥ 0 and b ≥ 0.
When multiplying radicals, multiply the coefficients
and multiply the radicands. You can only multiply radicals with the
same index.
( )
( ) =
coefficient x coefficient
radicand x radicand
5.2.1

4. Multiply Radicals Multiply. Simplify where possible.
To multiply a polynomial by a monomial, use the distributive property to remove parentheses and then simplify each resulting term, if possible.
5.2.2

5. Multiply Radicals
Your Turn
Multiply. Simplify where possible
5.2.3

6. Quotient Rule with Radicals
When dividing radicals, divide the coefficients and then divide the radicands. You can only divide radicals with the same index.
Divide and simplify.
5.2.4

7. Question
The multiplication of equals
What is the value of a?

8. Question 1. For all values of a and b, is equal to: a. a – b a + b

9. Question
is equal to a. b. c. d. 32

10. Assignment:
Textbook p. 289 #1(a,b,d), 2(a,b,d), 3a, 4(a,c), 6