Quiz on Adding and Subtracting Radicals

What is the key requirement for radicals to be considered 'like radicals'?

• They must have the same coefficients.

• They must have the same radicand and index.

• They must be both square roots.

• They must be both cube roots.

If you have 3√5 + 2√5, what is the result?

• 6√5

• 6√10

• 5√10

• 5√5

Why can't √7 and √3 be added together?

• They are not like radicals.

• They have different coefficients.

• They have the same radicand.

• They are both square roots.

What should you do before adding or subtracting radicals?

• Add the radicands.

• Simplify the radicals.

• Subtract the indices.

• Multiply the coefficients.

How do you simplify √32?

• 2√16

• 4√2

• 8√4

• 16√2

What is the result of 7∛16 - 2∛128 after simplification?

• 6∛16

• 5∛16

• 6∛2

• 5∛2

What is the largest perfect cube that divides into 128?

• 16

• 64

• 32

• 8

When incorporating variables, what must be true for the coefficients to be combined?

• They must be like terms.

• They must be even numbers.

• They must be integers.

• They must be odd numbers.

How do you simplify √12x³?

• 2x√3x

• 3x√4x

• 2x√6x

• 3x√2x

What is the result of combining 2x√3x and 15x√3x?

• 30x√3x

• 17x√3x

• 17√3x

• 30√3x