Square and Cube Roots

What is a perfect square?

• A number that can be expressed as the square of an integer.

• A number that is the product of two different integers.

• A number that is always even.

• A number that can be divided by 1 and itself only.

What is a perfect cube?

• A number that can be expressed as the square of an integer.

• A number that can be expressed as the cube of an integer.

• A number that is the product of two identical integers.

• A number that is always even.

What is the square root of 64?

• 6

• 7

• 8

• 9

If the volume of a cube is 216 ft³, what is the length of each side?

• 4 feet

• 5 feet

• 6 feet

• 7 feet

How do you find the cube root of a negative number?

• The cube root of a negative number is positive.

• The cube root of a negative number is also negative.

• The cube root of a negative number is zero.

• The cube root of a negative number is undefined.

Which number is both a perfect square and a perfect cube?

• 27

• 64

• 81

• 100

What is the volume of a cube with side length s?

• V = s^2

• V = s^3

• V = 6s

• V = 4s

What is the relationship between cube roots and exponents?

• The cube root of a number can be expressed as an exponent: If x = a^3, then cbrt(x) = a = x^{1/3}

• The cube root of a number is always a whole number.

• Cube roots and exponents are unrelated mathematical concepts.

• The cube root of a number is the same as its square root.

Solve for x when x^3 = 125.

• x = 3

• x = 4

• x = 5

• x = 6

Evaluate ±7/5.

• The expression ±7/5 represents only 7/5.

• The expression ±7/5 represents both 7/5 and -7/5.

• The expression ±7/5 represents only -7/5.

• The expression ±7/5 is equal to 0.