Download Keynotes Multiplying Radicals

Unit 1 Relationships Between
Quantities and Expressions
Week 2
Lesson 4 – Multiply Radicals
(restricted to square roots only)
Today’s Objective
• MGSE9-12.N.RN.2 Rewrite expressions involving
radicals (restricted to square roots only)
• MGSE9-12.N.RN.3 Explain why the sum or product of
rational numbers is rational; why the sum of a
rational number and an irrational number is
irrational; and why the product of a nonzero rational
number and an irrational number is irrational.
• Objective: Students will multiply and Simplify
radical expressions
Essential Questions
• How comfortable are you with working with
radical expressions so far?
• (1) great ready to go on
• (2) I still need a little more practice with ___
• (3) I am struggling with ______.
Vocabulary
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Simplify
Like Terms
Radicals
Radicands
Simplest Form
Factors
Read, Write, Draw, Solve
Show and describe how would you multiply the
fractions 2/5 x 7/8?
How do you think you would simplify the radical
expression 2√(3 ) * 4√(5 )
Product Property of
Radicals
For any numbers a and b where
and
a³0
 5
2

5* 5 
25  5

7* 7 
49  7

8* 8 
64  8

x* x 
x 
 7
2
 8
2
 x
2
2
x
Multiplication and Radicals
Simplify the expression:
Use the Commutative Property
to Rewrite the expression.
7 10  4 15
7  4  10  15
Simplify and use the Radical
Product Property Backwards.
If possible, simplify more.
Conclusion: Multiply the
numbers outside of the square
root, then multiply the numbers
inside of the square root. Then
simplify.
28 10 15
28 150
28 25 6
28  5 6
140 6
Multiply and then simplify
5 * 35  175  25 * 7  5 7
2 8 * 3 7  6 56  6 4 *14 
6 * 2 14  12 14
2 5 * 4 20  20 100  20 *10  200
Exit Ticket
• Simplify each radical expression below.
A.
D.
B.
E.
C.
F.