Perfect Squares and Square Roots
Warm Up
A number to the second power can be read
as that number squared.
2
Ex: 6 read as 6 to the second or 6
squared. Why?
65
5
6
Perfect Squares and Square Roots
List of Perfect Squares:
2
1 =
2
2 = 2
3 =
2
4 =
2
5 =
2
6 =
2
7 =
2
8 = 2
9 =
2
10 =
2
11 =
2
12 =
2
13 =
2
14 = 2
15 =
2
16 =
2
17 =
2
18 =
Perfect Squares and Square Roots
Radical
2
19 =
2
20 = 2
21 =
2
22 =
2
23 =
2
24 =
2
25 =
Index
(when blank it means 2)
x
Sign
Radicand
2
YOU MUST MEMORIZE UP TO 25 !!!
1
Perfect Squares and Square Roots
Perfect Squares and Square Roots
List of Square Roots:
1 =
49 =
4 =
64 =
361 =
169 =
196 =
9 =
81 =
225 =
16 = 100 = 256 = 25 =
121 =
289 =
36 =
144 =
324 =
400 =
441 =
The principle square root of a number is the POSITIVE square root.
484 = 529 =
576 =
625 =
2
Perfect Squares and Square Roots
Perfect Squares and Square Roots
Perfect Squares and Square Roots
Solve the equation:
49 = x2
x2 = 121
x2 = 256
Perfect Cubes
&
Cubes Roots
Workbook page 28
3
Perfect Cubes and Cube Roots
Radical
Perfect Cubes and Cube Roots
A number to the third power can be read as
that number cubed.
Ex: 43 read as 4 to the third or 4 cubed.
Why?
Think about the dimensions used to find volume of a cube. LENGTH, WIDTH, and HEIGHT. When we multiply these three dimensions to get volume we get the units "cubed" or to the third power.
Index
3
When it is a 3, you are
x
taking the cube root
Sign
Radicand
of the Radicand.
Taking the cube root of a number is the inverse of cubing a number (raising it to the third power).
43 = 4 x 4 x 4 = 64
∛64 = 4
4 cm
Volume = (3 cm) x (4 cm) x (5 cm) = 60 cm
3
3 cm
5 cm
You must memorize PERFECT CUBES up to 53...
Perfect Cubes and Cube Roots
13 = The cube root can be a negative number.
23 = For example:
­5 x ­5 x ­5 = ­125 and ∛-125 = -5
33 = 73 = 83 = 43 = 93 = 53 = 103 = 63 = 4
Solve the following equations...
x3 = 8
a3 = y3 = 216 b3 = 27
z3 = 125 c3 = 512 729
5