Square and Cube Roots

What is the square root of 25?

• 5

• 10

• 3

• 7

Answer explanation

The square root of 25 is 5. It is the correct choice because when 5 is multiplied by itself, it equals 25.

Tags

CCSS.8.EE.A.2

What is the cube root of 64?

• 10

• 8

• 4

• 6

Answer explanation

The cube root of 64 is 4 because 4 * 4 * 4 = 64. Among the answer choices, 4 is the correct choice.

Tags

CCSS.8.EE.A.2

Find the square root of 144.

• 20

• 15

• 10

• 12

Answer explanation

The square root of 144 is 12, which is the correct choice. It is the number that, when multiplied by itself, gives the result of 144.

Tags

CCSS.8.EE.A.2

Find the cube root of 125.

• 3

• 5

• 10

• 7

Answer explanation

The cube root of 125 is 5 because 5 * 5 * 5 = 125. None of the other answer choices satisfy this condition.

Tags

CCSS.8.EE.A.2

What is the square of 9?

• 64

• 100

• 49

• 81

Answer explanation

The square of 9 is 81, which is the correct choice.

Tags

CCSS.8.EE.A.2

What is the cube of 3?

• 12

• 9

• 15

• 27

Answer explanation

The cube of 3 is 27, which is the correct answer choice.

Tags

CCSS.8.EE.A.2

Simplify: √(16) + √(25)

• 9

• 12

• 10

• 7

Answer explanation

To simplify the expression, we find the square roots of 16 and 25, which are 4 and 5 respectively. Adding them together gives us 9, which is the correct answer choice.

Simplify: ∛(64) - ∛(27)

• 4

• 1

• 3

• 2

Answer explanation

To simplify ∛(64) - ∛(27), we find the cube roots of 64 and 27, which are 4 and 3 respectively. Subtracting them gives us 4 - 3 = 1. Therefore, the correct answer is 1.

If the area of a square is 49 square units, what is the length of each side?

• 12 units

• 7 units

• 10 units

• 5 units

Answer explanation

The length of each side of the square is 7 units because 7 multiplied by 7 equals 49, which is the area of the square.

Tags

CCSS.8.EE.A.2

If the volume of a cube is 64 cubic units, what is the length of each side?

• 16

• 8

• 4

• 32

Answer explanation

The volume of a cube is calculated by multiplying the length of each side by itself three times. To find the length of each side, we need to find the cube root of the volume. In this case, the cube root of 64 is 4. Therefore, the length of each side is 4.

Tags

CCSS.8.EE.A.2