Download Math 84 Activity # 24 “Get Squared” Your Name: _____ Team

Math 84
Activity # 24
“Get Squared”
Your Name: ______________________
Team Member #1_____________________
Team Member #2 _________________
Team Member #3_____________________
Part One: Overview and lesson:
The goal: To develop an understanding of the concept of square roots and perfect square numbers.
The Lesson
One: The square root of a number is a number that can be multiplied by itself to reach the initial number. For
example, the principal square root of 16 is 4, because 4x4=16, just as the principal square root of 36 is 6,
because 6 x 6 = 36.
For example.
25  5
5 is a square root of 25 because
Rule:
Also:
b
n
5² = 25
a2  b, then b  a
1 n
 b2
The symbol used here is called the radical
sign (√), and it stands for the principal
square root of the number inside.
Two: Since the principal square root of 25 is the whole number (5), we refer to 25 as a perfect
square. A perfect square is a number which has a whole number as its principal square root.
Practice Problems:
49  ____ because ____________
1. A)
2. A)
121 
B)
64  _____ because ___________
B)
25

81
3. Is 36 a perfect square? Why?________________________________________
4. Circle the perfect square numbers:
68
144
9
12
169
189
225
4
25
27
16
You Try It: (Each member in your group must show the work on their own paper).
1.
10 3 
49 
2.
21 144 =
3.
64

100
4.
4

16
5.
Simplify.
6.
Check to see if the given number is a solution for the equation.
1
=
81
10  22  3  3
21  22
=______
A)
16  x  5,
B)
100
  x2
25
C)
125  y  11, y  2 2
 
x  9
 10,
x  3
New Vocabulary: Define the following.
1.
Radical __________________________________________
2.
Perfect Square ____________________________________
3.
Square root _______________________________________
Review Problems (Sections 1.1 – 1.8).
1. Gabriela is paid hourly and her hours vary week-to-week. Last month her four weekly
paychecks were as follow; $145, $230, $165 and $310. What was Gabriela’s mean weekly
salary?
2. A) Find the area of the rectangle.
B) Find the perimeter of the rectangle.
16m
3m
3. Simplify.
A)
0

4
B) 10 225
C)
4x  2

0
D) 10 
3
49 


E) 8  2  10  1  3  4  3 
2
4. Evaluate each expression for a = 20, b = 10, and c = 6.
A) a + b + 2c =
B)
bc 