Simplifying Radicals: Step-by-Step Techniques

What is the first step in simplifying the square root of 32?

• Finding the square of 32

• Finding two numbers that add up to 32

• Finding two numbers that multiply to 32

• Finding the cube root of 32

Which of the following is a factor of 32?

• 3

• 5

• 2

• 7

What is the simplified form of the square root of 32?

• 4√2

• 4√4

• 2√4

• 8√2

What is the first factor pair used to break down 75?

• 3 and 25

• 5 and 15

• 7 and 10

• 2 and 37.5

Which number is a perfect square in the factorization of 75?

• 15

• 25

• 5

• 3

What is the simplified form of the square root of 75?

• 25√3

• 3√5

• 5√3

• 15√5

What is the first factor pair used to break down 96?

• 6 and 16

• 4 and 24

• 3 and 32

• 2 and 48

How many pairs of 2s are taken out of the radical when simplifying the square root of 96?

• 4

• 2

• 1

• 3

What is left inside the radical after simplifying the square root of 96?

• 3

• 12

• 2

• 6

What is the final simplified form of the square root of 96?

• 2√6

• 4√6

• 6√4

• 8√3