Understanding Radicals

What is the default index of a radical when no number is specified?

• 2

• 1

• 3

• 4

How do you convert an entire radical to a mixed radical?

• By multiplying the radicand by itself

• By dividing the radicand by 2

• By factoring out perfect squares

• By adding a number outside the radical

When adding radicals, what must be true about the radicands?

• They must be the same

• They must be even numbers

• They must be different

• They must be prime numbers

What is the result of 3√3 + 2√3?

• 6√6

• 6√3

• 5√3

• 5√6

How can you simplify 3√2 + 2√18?

• By factoring out perfect squares from √18

• By dividing the radicands

• By multiplying the radicands

• By adding the coefficients directly

What is the result of multiplying 5√3 by 2√3?

• 10√6

• 15√3

• 10√9

• 30

How do you multiply two radicals with positive radicands?

• Add the radicands

• Multiply the radicands and the coefficients separately

• Subtract the radicands

• Divide the radicands

What is the result of dividing 12√6 by 3√2?

• 6√2

• 4√3

• 4√2

• 6√3

When dividing radicals, what should you do with the numbers outside the radicals?

• Divide them

• Multiply them

• Add them

• Subtract them

In the distributive property example, what is the result of 3√3 * 2√3?

• 9√3

• 18

• 12

• 6√9