Square Roots
Andrew is making a cutting board using pieces of wood that measure 1 square inch. When he finishes, the cutting board will have an area of 144 square inches. How many pieces of wood should he put along each side?
He should put 12 pieces of wood along each side.
A cube has a volume of 64 cubic inches. What is the length of one side?
4 inches.
Approximate sqrt6 to the nearest tenth.
2.4
Which numbers can be classified as rational? Select All That Apply.
A. 2/3
B. sqrt14
C. 4.25252525...
D. 3.14159265...
E. -7 4/5
A, C, and E
Solve the equation below.
x^2 = 13
A. x = 13
B. x = 169
C. x=sqrt13
D. x=+-sqrt13
D. x=+-sqrt13
A cube has a volume of 729 cubic feet. What is the length of one side of the cube?
9 feet.
Approximate sqrt12 to the nearest tenth.
3.4
True or False
Pi is irrational because it is a terminating decimal.
False. Pi is irrational because it is non-repeating and non-terminating.
Solve the equation below. Select all that apply.
x^2=121
A. x=12
B. x=11
C. x=62
D. x=-11
E. x=-12
B. x=11
D. x= -11
Simon has a cube-shaped box. Its volume is 125 cubic inches. What is the area of one face of the box?
25 square inches.
Approximate sqrt87 to the nearest tenth.
9.3
True or False
sqrt47 is rational because it is a perfect square.
False. 47 is a non-perfect square so it is irrational.
Ashley is creating a square poster for a school project. She wants to put a boarder around the edges of the poster to decorate it. If the square poster has an area of 169 square inches, how much of the boarder will Ashley need?
She will need 52 inches of the boarder.
Avery has a poster with an area of 36 square inches. She wants to place it in a box with a volume of 125 cubic inches. Will Avery be able to lay the poster flat in the box? Explain why or why not.
No, she will not be able to lay the poster flat in the box because each side of the poster is 6 inches and each side of the box is 5 inches, so it will not fit.
Approximate sqrt132 to the nearest tenth.
11.4
Which numbers can be classified as irrational? Select All That Apply.
A. -5
B. 7/9
C. 8.724826...
D. -0.9189
E. sqrt35
C and E