Operations with Radical Expressions Quiz

How do you add radical expressions like 3√5 + 4√5?

• Add the numbers inside the radicals.

• Add the coefficients and keep the radical the same.

• Multiply the coefficients and the radicals.

• Subtract the coefficients and keep the radical the same.

What is the result of simplifying 6√5 + 2√5 - 5√5?

• 3√5

• 13√5

• 7√5

• 0

When simplifying 7√2 + 8√11 - 4√11 - 6√2, what is the first step?

• Combine all terms into one radical.

• Group like radicals together.

• Subtract all coefficients.

• Multiply all coefficients.

How can you simplify 6√27 + 8√12 + 2√75?

• By adding all coefficients.

• By breaking down each radical into its prime factors.

• By multiplying all radicals together.

• By subtracting the smallest radical from the largest.

What is the simplified form of 6√3 + 8√3 + 10√3?

• 24√3

• 50√3

• 44√3

• 18√3

How do you multiply radical expressions like 5√x * 8√x?

• Multiply the coefficients and add the radicals.

• Add the coefficients and multiply the radicals.

• Multiply the coefficients and the radicals.

• Subtract the coefficients and multiply the radicals.

What is the result of simplifying 2√3 * 4√6?

• 16√3

• 8√9

• 24√2

• 8√18

When using the distributive property to simplify 4√2(3√2 + 2√6), what is the first step?

• Multiply 4√2 by each term inside the parentheses.

• Add the terms inside the parentheses.

• Subtract the terms inside the parentheses.

• Divide 4√2 by each term inside the parentheses.

How do you find the area of a rectangle with sides 4√6 - 2√10 and 5√3 + 7√5?

• Add the lengths of the sides.

• Multiply the lengths of the sides using FOIL.

• Subtract the lengths of the sides.

• Divide the lengths of the sides.

What is the simplified form of the expression 20√9 * √2?

• 60√2

• 20√18

• 40√2

• 20√3