Operations with Radical Expressions: Addition, Subtraction, and Multiplication

What must be true about the radicands in order to add or subtract radical expressions?

• They must be different.

• They must be the same.

• They must be prime numbers.

• They must be even numbers.

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

• 5√x

• 1√x

• 5√2x

• 6√x

How do you handle the coefficients when adding radicals with the same radicand?

• Add or subtract them.

• Divide them.

• Square them.

• Multiply them.

What is the simplified form of 6√5 + 2√5 - √5?

• 8√5

• 9√5

• 7√5

• 10√5

When combining like terms with different radicands, what is the first step?

• Add the coefficients.

• Multiply the radicands.

• Simplify the radicals.

• Subtract the coefficients.

What is the simplified form of 2√20 - 5√45?

• 4√5 - 15√2

• 4√5 - 15√3

• 4√5 - 15√9

• 4√5 - 15√5

What is the result of multiplying 6√6 by 3√2?

• 18√12

• 18√3

• 18√8

• 18√6

How do you simplify the product of radicals when multiplying?

• Add the radicands.

• Divide the radicands.

• Subtract the radicands.

• Multiply the radicands.

What is the simplified form of 2√3 * 4√2?

• 8√5

• 6√8

• 6√4

• 8√6

When finding the area of a rectangle using radical expressions, what operation is primarily used?

• Division

• Multiplication

• Subtraction

• Addition