Exploring Operations with Radicals

What must be the same in order to add or subtract radicals?

• The coefficients

• The radicands

• The exponents

• The bases

If you have √6 + 3√6, what is the simplified result?

• 4√6

• 3√6

• 6√6

• √12

What should you do if the radicands are not the same when adding or subtracting radicals?

• Simplify each radical and check again

• Subtract them directly

• Add them directly

• Multiply them

What is the simplified form of 3√18 + 5√8?

• 19√2

• 4√2

• 8√26

• 9√2 + 10√2

When multiplying radicals, do the radicands need to be the same?

• Yes, always

• No, never

• Only if they are perfect squares

• No, they do not need to be the same

What is the result of multiplying √6 by 3?

• 3√6

• √18

• 6√3

• 9

What is the simplified form of 3√12 + 5√18?

• 3√30

• 8√30

• 6√3 + 15√2

• 5√30

What is the result of dividing √20 by √4?

• √5

• 2√5

• 5

• √24

What should you check before rationalizing the denominator?

• If the radicands are the same

• If the denominator is a perfect square

• If the coefficients are the same

• If the numerator is a perfect square

What is the simplified form of 4√5 divided by 2?

• √10

• 2√10

• 4√10

• 2√5