Simplifying Square Roots with the Product Rule

What does the product rule for square roots state?

• The square root of a quotient equals the quotient of the square roots.

• The square root of a difference equals the difference of the square roots.

• The square root of a product equals the product of the square roots.

• The square root of a sum equals the sum of the square roots.

If you have the square root of 2 times the square root of 8, what is the simplified result?

• Square root of 4

• 4

• Square root of 16

• Square root of 10

How can you simplify the square root of 18 using the product rule?

• Square root of 9 times 2

• Square root of 18 times 1

• Square root of 9 times the square root of 2

• Square root of 3 times 6

What is the simplified form of the square root of 48?

• 6 times the square root of 2

• 8 times the square root of 1

• 4 times the square root of 3

• 2 times the square root of 12

Which of the following is a perfect square factor of 48?

• 3

• 4

• 6

• 8

What is the cube root of 8?

• 4

• 2

• 3

• 1

How can you simplify the cube root of 54?

• Cube root of 18 times 3

• Cube root of 27 times the cube root of 2

• Cube root of 9 times 6

• Cube root of 27 times 2

What is the simplified form of the cube root of 27?

• 1

• 2

• 4

• 3

Which of the following is a perfect cube factor of 54?

• 9

• 3

• 2

• 27

What is the main principle behind the product rule for roots?

• The root of a sum equals the sum of the roots.

• The root of a product equals the product of the roots.

• The root of a difference equals the difference of the roots.

• The root of a quotient equals the quotient of the roots.