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Review
Perfect Square Roots
Estimating Non-Perfect Square Roots
Name: ___________________________________________
Part 1
For each of the following find the square root. If the root is not a perfect square,
determine what two consecutive integers the root would be in-between.
1.
129
5.  25
2.  111
3.
184
4.  68
6.
7.
225
8.  141
98
Part 2
Estimate where the following numbers would be on the given number line and place them
there.
9.
A
29
-10 -9
B
10.  94
-8 -7
-6
11.
-5 -4
C
15
-3
12.
-2 -1
D
53
0
E
13.  19
1
2
3
4
F
14.  37
5
6
7
8
Problem Solving with Square Roots
Name:
For each problem, draw a diagram, write down all formulas, show all work, and
explain how you found your solution.
1. If the area of a square rug is 121 m 2 , how long is each side of the rug?
2. The perimeter of square is 20 cm. What is the area?
3. The area of a square is 196 ft. 2 . What is the perimeter?
4. A woman needs to fence in a square lot for her dog. Her lot has an area of
289ft 2 . If the fence she picked out cost 13.99 per foot, how much will it cost
her to fence her yard?
5. A man is installing square tiles in a kitchen. Each tile has an area of 36in 2 .
If the kitchen is 15ft wide and 14 ft. long, how many tiles will he need to
cover the entire floor?