Section 7.1 Notes – Algebra 2
Radical Expressions
Name: _____________________________
Period: ________
Directions: Find the square roots of each number.
Principal Square Root
Negative Square Root
1. 25
2. 961
3.
100
289
Every positive real number has ______ square roots.
To determine which is being asked for:
Examples: Find the following. (Notice the directions are different from above.)
4.
5.  64
100
6.
25
64
7.
4
Vocabulary:
52
72 
 7  2 
32 
2
 3 
x2 
  x 2 
*Ignore answers in back of book.
Examples: Find the following.
8.
11.
 16 
2
 x 12
9.
12.
 3b 
2
x 2  8x  16
10.
 5y 2
13.
4  x  3
2
Cube Roots:
Every real number has exactly one cube root which can be a ___________ OR ___________ number.
3
8
3
8
3
33
3
 3
3
x3
3
  x 3
3
Directions: Find the following.
14.
3
8y 3
15.
3
27x 6
16.
3
432x 4 y 9
Directions: Rewrite the following using exponential notation.
17. x  5 23
18. t  3 21
19. n  8 15a
16
21.  4 16
22.
24.  4 54
Directions: Simplify.
20.
4
23.
4
81
23.  4 x 4
25.
6
26 x 22
26.
4
27.
5
32
28.
7
 a 17
29.  5 2048x 9
30.
3

4
16  x  2 
4
 3
1
81
4