Page 145 - Math Course 2 (Book 1)

Simplifying Radical Expressions

Multiply Square Roots
Your Turn!

Example Simplify Square Roots

Simplify 45
Simplify 2 • 24
A. 9 5
2 • 24 = 2 • 2 • 2 • 2 • 3 Product
Property B. 3 5
= 2 2 • 2 2 • 3 Product C. 15
Property
D. 5 3
2
= 2 • 3 Simplify.

Answer 4 3 Answer

Simplify a Square Root with

Variables

Example Multiply Square Roots

Simplify • 35
5
4 5 6
Simplify 45a b c A. 5 7

2
5
4
4 5 6
45a b c = 3 • 5 • a • b • c 6 Prime B. 7 5
factorization.
C. 25 7
Product
4
4
2
= 3 • 5 • a • b • b • c 6 Property. D. 35
3
2
2
= 3 • 5 • a • b • b • | c | Simplify.
Answer
2 2
3
Answer = 3a b |c | 5b
3
The absolute value of | c | ensures a
nonnegative result.
Simplify a Square Root with Variables
Simplify 2 3
32m n c
2 3
A. 4 |m n | 2c
B. 16 |mn| 2nc

C. 4 |mn| 2nc

D. 2 |nc| 4mn

Answer

137