Roots (square, cube)
what is c if c³=1.331?
1.1
-√2.56
-1.6
-6(√36)
-36
-4(√144)
-48
0.0169 = c². c = ?
.13
How many should be in each row of a marching band if the band wants to form a square in the middle of the field at halftime and 100 people are in the band?
10
13²
169
Mr. Freeman's farm has a square cornfield with sides measured in whole numbers. Which could be the area of his field (in square feet): 164,000; 170,150; 170,586; 174,724
174,724 (it's square root is the whole number 418)
(√199)²
199
10(³√8)
20
m³=8000, so what is m?
20
What's the perimeter of a square whose area is 25 square inches?
20 inches
13³
2197
15²
225
15³
3375
(√36)²
36
What's the area of a square whose perimeter is 24 inches?
36 in²
What is y if √y = 20?
400
What's the perimeter of a square whose area is 121 square inches?
44 inches
Picture a 3x3 square, with the 4 corner squares missing. The remaining squares have an area of 16 square units. What is the perimeter of the figure?
48 units
5(√121)
55
What is the volume of a cube whose edge measures 4x³y
64x⁹y³
What is the volume of a cube whose edge measures 9x²y⁴
729x⁶y¹²
If Giza's Great Pyramid has a square base with an area of about 562,500 square feet, find the approximate length of each side of the base:
750 ft.
If you have a puzzle cube with a volume of 512 cm³, what is the length of one side of the puzzle cube?
8cm
v²=81. v = ?
9
Square roots have to be integers. True or False?
False
√-16 is a real number. True or False?
False
√4/25 is equivalent to .04. True or False?
False
√52 is a perfect square. True or False?
False (2√13)
You create the simplest radical form of a radical by finding the largest perfect square that is also a factor of the radicand. True or False?
True
³√-27 is a real number. True or False?
True
√4/25 is equivalent to 2/5. True or False?
True
√4/25 is equivalent to √0.16. True or False?
True
We cannot currently calculate √-16. It is not a real number. It belongs to what number system, the one to which all numbers belong, which then appear to us in a + bi form?
complex
What do we call the term that goes under the radical in a square or cube root problem?
radicand
When we want to solve a square root problem, we take the square roots of both sides (the number and the variable), i.e. x² = 81, x = 9; this is equivalent to raising each side to what type of exponent?
rational exponent
The exact answer to a square root problem that is not an integer is: a decimal or simplest radical form
simplest radical form
The square base of Giza's Great Pyramid covers almost 562,500 square feet. How can you determine the length of each side of the base?
take the square root
Raising s³ to the 1/3 power is equivalent to:
taking the cubed root of s³
When we are asked to find a root, be it the square, cube, or some other root, where do we look on or near the radical to find that information?
the index