Square Roots of Perfect Squares
What is the square root of 4?
2
What is the decimal approximation of the square root of 12? (round to the hundredth)
3.46
What is the cubic root of 8?
2
Evaluate:
2 (sqrt4) + 10
14
If a cube has a side length of 4 inches, what would be the volume of that cube?
64 inches cubed
What is the square root of 144?
12
What is the decimal approximation of the square root of 45? (round to the nearest hundredth)
6.71
What is the cubic root of 125?
5
Evaluate:
5 (sqrt16) - 22
-2
Carly is packing a moving box. She has a square mirror with an area of 9 square feet. The cube shape box has a volume of 30 cubic feet. Will the mirror lie flat in the box?
Yes - an area of 9 feet fits into a cube box of 30 because when you find the side length of the mirror and then cube it, it is 27 feet cubed. 27 feet fits in a 30 cubic foot box.
What are the two square roots of 64?
8 and -8
What two integers is the square root of 56 between?
7 and 8
What is the cubic root of -27?
-3
Evaluate:
4(cubrt8) + 9
17
Mr. Mason was hired by Mrs. Green to tile her square-shaped bathroom. Mr. Mason is
laying 676 square feet of tile. What is the length of one side of Mrs. Green’s bathroom?
26 feet
What are the two square roots of 169?
13 and -13
What two integers is the square root of 132 between?
11 and 12
What is the cubic root of 8,000?
20
Evaluate:
-2 (cubrt27) - 6
-12
Mark wants to fence in his square backyard. He
measures his backyard to be 225 square feet.
Fencing is sold by the foot, how many feet of
fencing will Mark need? (Remember, this would be finding the perimeter).
60 feet of fencing
Alison is making a square quilt. She has 50 square feet of material. What is the largest side length of quilt that she can make? Round your answer to the nearest whole number.
7 inches
What two integers is the square root of 650?
25 and 26
A present in the shape of a cube has a volume of 1,728 cubic centimeters. What is the side length of the present?
12 cm
Evaluate:
sqrt 4 / sqrt 16
and simplify
1/2
Shay has a large cube shaped aquarium for his ball python. He wants to cover the opening with a screen. What is the area of the screen? The volume is 343 inches cubed.
7 inches = side length (cube root)
49 inches squared = area of the screen