Cubed Questions
∛8
2
Is the square root of a positive integer : positive, negative, or both? Give an example.
Every square root has two roots : a positive and negative answer. For example : square root of 4 is + and - 2.
True or False: √121 is a rational number.
True, it's a perfect square and can be written as a fraction.
The √2 is between which two consecutive positive integers?
between 1 and 2.
What is the area of a square whose side is 13 inches?
132 = 169 in2
x3 = 27, what is x?
x=3
x2=100, what is x?
x = 10, -10
Which one of these numbers is rational?
a) π c) √9
b) √8 d) Cannot be determined
c) √9
The √40 is between which two positive consecutive integers?
6 and 7
The volume of a cube is 216 in3. What is the length of each side in the cube?
6 in.
True or false? Answers to cube root equations can be positive or negative.
False - positive only
NO CALCULATOR! x2 = 324, x = ?
x = 18, -18
Rational or irrational? 4.566666.....
Rational because it is a repeating decimal
Is √15 is closer to 3.5 or 4?
√15 is about 3.8729833..... so it is closer to 4
Answer: 36 inches
One side = 9, Perimeter = 9 x 4 = 36 inches∛125 + ∛1
6
List first 15 perfect squares
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
Rational or irrational? 5.06006000600006.....
Irrational because the pattern is not repeating
The - √51 is between which two consecutive integers?
-7 and -8
True or false? Not counting units, the area of a square whose side is 8 is equal to the volume of a cube whose edge length is 4.
True. Area = 8 x 8 = 64, Volume = 4 x 4 x 4 = 64
|∛64|-|∛27 - 8|
-2
(√81 + √25) (√81- √25)
56
False. The answer is 5, which is rational.
Which number is greater: 2π, or ∛125 ?
2π = 6.2831
The volume of a cube is 64 cubic inches. What is the area of one face?
16 in2