Simplifying Higher Radicals with Variables

What must the exponents be for a square root to be simplified?

• Multiples of 3

• Multiples of 2

• Multiples of 4

• Any number

When simplifying the square root of 16, which factorization is correct?

• 16 = 10 + 6

• 16 = 2 * 2 * 2 * 2

• 16 = 4 * 4

• 16 = 8 * 2

How do you handle an exponent that is not even when simplifying a square root?

• Leave it as it is

• Multiply it by 2

• Break it into a sum of an even and an odd exponent

• Subtract 1 from it

What is the cube root of 216?

• 5

• 6

• 7

• 8

When simplifying the cube root of 56, which factorization is correct?

• 56 = 8 * 7

• 56 = 4 * 14

• 56 = 10 + 46

• 56 = 2 * 28

What is the cube root of -64?

• -5

• -2

• -4

• -3

What is the fourth root of 16?

• 5

• 2

• 3

• 4

How do you handle an exponent that is not divisible by 4 when simplifying a fourth root?

• Subtract 1 from it

• Break it into a sum of a multiple of 4 and a remainder

• Multiply it by 4

• Leave it as it is

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

• 4 * fourth root of 12

• 2 * fourth root of 12

• 4 * fourth root of 3

• 2 * fourth root of 3

When simplifying the fourth root of w^4, what is the result?

• w^4

• w^3

• w^2

• w