Algebra 1
Notes – 6.2
Name_______________________________
Properties of Square Roots
Opener – The perimeter of the square shown is 12 feet and the area is 9 square feet. What is the length of
one side?
Square Roots
Perfect Squares
1
6
 11
2
7
 12
3
8
 13
4
9
 14
5
 10
 15
Simplifying Square Roots – using prime factorization
No perfect squares (other than 1) can be left under the square root symbol.
Step 1 –
Step 2 –
Step 3 –
Step 4 –
Examples 1 – 2: Simplify the following expressions.
1.
150
2.
80
Practice 3 – 8: Simplify the following expressions.
3.
40
4.
43
5.
192
6.
72
7.
240
8.
27