Exploring Adding and Subtracting Radicals

What is the main idea when adding and subtracting radical expressions?

• Combine all radicals regardless of their type.

• Combine radicals only if they are in simplest form.

• Combine radicals with different bases.

• Combine only like radicals.

How is adding 2√3 + 5√3 similar to adding variables?

• It is similar to adding 2a + 5b.

• It is similar to adding 2y + 5z.

• It is similar to adding 2x + 5x.

• It is similar to adding 2m + 5n.

What should you do if radicals do not seem to be like radicals?

• Combine them anyway.

• Ignore them.

• Simplify them to see if they can be combined.

• Multiply them together.

How can the square root of 12 be simplified?

• √12 = 3√4

• √12 = 6√2

• √12 = 4√3

• √12 = 2√3

What is the simplified form of 2√3 + 4√12?

• 8√3

• 10√3

• 6√3

• 12√3

How can the square root of 54 be rewritten?

• √54 = 2√27

• √54 = 9√6

• √54 = 6√3

• √54 = 3√6

What is the result of combining 3√6 and 2√6?

• 7√6

• 4√6

• 5√6

• 6√6

How should you handle a fraction under a radical?

• Leave it as it is.

• Multiply by a fraction to simplify.

• Add a constant to it.

• Divide by a constant.

What is the simplified form of √2 - √(1/2)?

• √2 - 2/√2

• √2 - 1/2

• √2 - 1/√2

• √2 - √2/2

What is the final simplified form of √2 - √2/2?

• √2/2

• √2/3

• √2/1

• √2/4