Exploring Multiplying Radicals

What is the first step in simplifying the fourth root of 162?

• Divide 162 by 4

• Break down 162 into its prime factors

• Multiply 162 by 4

• Add 162 to 4

When simplifying the fourth root of 162x^5, what do you do with the group of four threes?

• Leave them under the radical

• Bring out a 3 from the radical

• Multiply them by 2

• Add them to the exponent

How many x's are left inside the radical after simplifying x^5?

• None

• One

• Two

• Three

For larger exponents, what mathematical operation helps in finding groups of four?

• Multiplication

• Addition

• Subtraction

• Division

If you have x^50, how many x's can be brought outside the radical when simplifying the fourth root?

• 15

• 20

• 12

• 10

What is the fifth root of 32?

• 4

• 3

• 2

• 5

When simplifying the fifth root of 32x^36, how many x's are left inside the radical?

• None

• Three

• One

• Two

What is the first step in multiplying expressions with square roots?

• Multiply the parts inside the radicals

• Multiply the parts outside the radicals

• Divide the coefficients

• Add the exponents

When multiplying 10x and -5, what is the result?

• -50x

• 50x

• -15x

• 15x

What is the simplified form of the expression after multiplying and simplifying 10x and -5 with square roots?

• 150x^3√5

• -150x^2√5

• 150x^2√5

• -150x^3√5