Simplifying Radicals

What is the first step in the prime factorization tree method?

• Calculate the square root of the product

• Identify even numbers

• Break down the number into prime factors

• Group the numbers into pairs

In the prime factorization tree, what do you look for when simplifying a square root?

• Groups of four

• Pairs of the same number

• Any prime number

• The number two

What indicates that a number can always be divided by two?

• It is greater than 50

• It ends in 0, 2, 4, 6, or 8

• It is a prime number

• It ends in an odd number

What do you do with numbers left over that are not perfect squares in the factorization method?

• Multiply them by two

• Add them to the result

• Leave them under the radical

• Ignore them

When simplifying a cube root using the prime factorization method, how many of the same number do you look for?

• Three

• Two

• Four

• Five

What is the result of simplifying the cube root of 96 using the prime factorization method?

• 6 cube root of 4

• 3 cube root of 8

• 2 cube root of 12

• 4 cube root of 6

What should you do if you are unsure about what numbers go into a larger number?

• Use a calculator

• Guess and check

• Skip the problem

• Divide by two if it's even

What is the cube root of 8?

• 4

• 2

• 8

• 16

When simplifying X to the fifth under a cube root, what remains under the radical?

• X squared

• No X remains

• X cubed

• X

What is the fourth root of 64?

• 2

• 4

• 16

• 8