Square Roots
√49
7
Is
√3
rational or irrational.
irrational
What integers is this between?
√13
3 and 4
Find the length of a cube with a volume of 8 cubic inches.
2 inches
List the perfect square that is before square root of 8 and after square root of 8.
Square root of 4 and square root of 9.
√36
6
Is .3333333 rational?
rational
What integers is this between?
√72
8 and 9
The area of a square patio is 121 square inches. What is the length of one edge of the patio?
11 inches
Is 27 a perfect square? Yes or No
No.
√121
11
What does it mean for a number to terminate?
The digits of the decimal do not go on forever.
Estimate the square root of
√53
7.3 (or any decimal below 5)
The zoo is creating a new tank for some of its fish. The zoo wants the tank to be a cube and be able to hold 3,375 cubic feet of water. Find the length of each side.
15 ft.
√10 = 5 because 5 x 2 = 10.
False. 5 squared = 25.
√144
12
Is
√5+8
rational?
NO, the square root of 13 is irrational
Describe in words how you can estimate the square root of an imperfect square.
Find the 2 perfect squares it is between for the whole number. For the decimal choose a number below 5 if it's closer to the low square or above 5 if it's closer to the higher square.
On a recent homework assignment, Eli needed to solve this equation completely. He incorrectly wrote "g = -7." Solve the equation and explain what error he made.
g2 = 49
g = 7 and g = -7
He did not include the positive answer as well.
Delaney’s square binder had an area of 121 square inches. She inferred that each side must be 11 inches. Was she correct and incorrect and WHY?
What is correct? The square root of 121 is 11.
√225
15
Is 27 divided by
√9
rational?
This makes 27/3 which is 9, so it is rational.
Estimate
√97
9.8 (or any decimal above 5)
Kelly wants to make a frame for a square painting. The painting has an area of 36 square inches.
A) How long is one side of the frame?
B) The framing material costs $1.85 per inch. How much will she spend?
A) 6 inches
B) $44.40
Jaelynn made a four square table that had an area of 49 square feet. How long was each side?
7 feet