1-8: Roots
What is a ​
Square
Root​
?
√16
A ​
square root ​
of a
number is one of its
two equal factors.
What is a ​
Perfect
Square​
?
√25
A ​
perfect square
are numbers such
as 1, 4, 9, 16, 25,…
because they are
squares of integers.
Square Roots
What is a ​
Radical
Sign​
?
Summary:
2
5​
= 25 so 5 is a
square root of 25.
√
A ​
radical sign​
, √ ,
is used to indicate
the principal square
2
root. If n​
= a, then
n = ± a.
Example 1a:
Page 72
Find each square 1. Find the square
root:
root
of
each
9
√ 16
number.
Find each square
root:
- √100
Example 1c:
Page 72
√− 100
Page 1d:
Page 72
3
What are
Roots​
?
What is
Cubes​
?
Cube
​
Perfect
​
√27
3​
If x​
= y, then x is
the cube root of y.
3
8 = 2 ∙ 2 ∙ 2 or 2​
A ​
cube root ​
of a
number is one of its
three equal factors.
Numbers such as 8,
27, and 64 are
perfect
cubes
because they are
the
cubes
integers.
Summary:
of
Example 2h:
Page 73
Example 2i:
Page 73
Find
root:
Find
root:
the
cube 1. What number
times itself three
3
√729
times equal 729?
the
cube
3
√− 64
Example 3k:
Page 74
An aquarium in the
shape of a cube
that will hold 25
gallons of water has
a volume of 3.375
cubic feet. Solve
3
s​
= 3.375 to find
the length of one
side
of
the
aquarium.
Summary: