Download - Lesson Menu
Main Idea and New Vocabulary
Example 1: Find Squares of Numbers
Example 2: Find Squares of Numbers
Key Concept: Square Root
Example 3: Find Square Roots
Example 4: Find Square Roots
Example 5: Real-World Example
• Find squares of numbers and square roots of perfect squares.
• square
• perfect squares
• square root
• radical sign
Find Squares of Numbers
Find the square of 5.
5 ● 5 = 25 Multiply 5 by itself.
Answer: The square of 5 is 25.
A. 5.2
B. 22
C. 110
D. 121
Find the square of 11.
Find the square of 19.
Find Squares of Numbers
Method 1 Use paper and pencil.
19× 19
171+ 190 361
Multiply 19 by itself.
Annex a zero.
Method 2 Use a calculator.
19 361ENTERx2
Answer: The square of 19 is 361.
A. 40
B. 200
C. 400
D. 440
Find the square of 20.
Find Square Roots
Find
6 ● 6 = 36, so What number times itself is 36?
Answer:
A. 2
B. 4
C. 8
D. 16
Find
Find Square Roots
Answer: So,
Find
676 26ENTER2nd
A. 17
B. 23
C. 27
D. 33
Find
GARDENS A city planner is designing a new community garden. The garden will be in the shape of a square and have an area of 1,225 square feet. What are the dimensions of the garden?
The garden is a square. By finding the square root of the area, 1,225, you find the length of one side of the garden.
Answer: The dimensions of the garden are 35 feet by 35 feet.
33 ● 35 = 1,225, so
A. 2.25 ft by 2.25 ft
B. 15 ft by 15 ft
C. 25 ft by 25 ft
D. 112.5 ft by 112.5 ft
PATIOS Philip is building a patio in the back yard. The patio will be square and will have an area of 225 square feet. What are the dimensions of the patio?