Roots 101
Square Roots
Cube Roots
Irrational Numbers 101
Estimating Values
100
What is any number that you can multiply by itself to get the original number?
A square root
100
Solve: b2 = 121
b = 11 (and -11)
100
Solve: y3 = 27
y = 3
100
What is an irrational number?
Any number that CANNOT be written as a fraction
100
What two numbers does the following fall between?
sqrt 6
2 and 3
200
What is the inverse operation of squaring a number?
Finding the square root
200
Solve: m2 = 256
m = 16 (and -16)
200
Solve: x3 = 512
x = 8
200
200
What two numbers does the following fall between?
sqrt 32
5 and 6
300
What is the inverse operation of cubing a number?
Finding the cube root
300
root 2 400
20 (and -20)
300
Each edge of a cube measures a feet long. The volume of the cube is 125ft3. What is the measure of each edge of the cube?
5 ft
300
Is
pi
an irrational number?
Yes (3.14159 …… It NEVER ends!)
300
What two numbers does the following fall between?
sqrt 40
6 and 7
400
How many roots does a square root have?
2 (one positive and one negative)
400
The length of each side of a square measures s inches long. The area of the square is 49 in2. What is the length of one side of the square?
7 in
400
root 3 1331
11
400
What is true about the decimals of an irrational number?
They go on forever without repeating
400
What two numbers does the following fall between?
sqrt 200
14 and 15
500
How many roots does a cube root have?
1 (positive)
500
root 2 (49/64)
7/8
500
root 3 (27/64)
3/4
500
What is the square root of any number that is not a perfect square? For example:
root 2 50
An irrational number
500
What two numbers does the following fall between?
sqrt 600
24 and 25