Lesson 12.2 Notes: Adding and Subtracting Radicals
Review: Simplify each expression.
1)
2)
√
3)
Rules for Adding and Subtracting Radicals:

You can only add like radicals. Like radicals are the radicals that have the same ____________.

When adding or subtracting radicals, you only add/subtract the numbers in front of the like
radicals. Do not change the radicand!
Examples: Simplify each expression.
4)
√
6)
√
8) √
10)
√
5)
√
√
√
7)
√
√
√
9)
√
11)
√
√
√
√
√
√
√
√
√
√
√
√
Now You Try: Simplify each expression. Show your work.
12)
√
√
13)
√
14)
√
√
15)
√
17)
√
16) √
√
√
√
√
√
Multiple Choice Practice:
18) Which quadrants contain the solution to this system of inequalities?
A. quadrants I and III
B. quadrants I and II
C. quadrants II and III
D. quadrants I and IV
19)
A.
B.
C.
D.
√
√
√
√