Exploring Operations with Radicals

When adding and subtracting radicals, what must be true about the radicals?

• They must be different.

• They must be like terms.

• They must be simplified.

• They must be variables.

What is the result of 10√5 - 6√5?

• 4√5

• 10√1

• 16√5

• 4√25

How do you simplify the expression 8√3 + 3√3 - 5√3?

• 6√9

• 16√3

• 6√3

• 8√1

What is the simplified form of √12?

• 3√4

• 2√3

• 4√3

• 2√6

How do you simplify the expression 4√3 + 3√3 - 4√3?

• 3√3

• 7√3

• 4√1

• 3√9

When multiplying radicals, what can you combine?

• Numbers with radicals

• Radicals with numbers

• Numbers with numbers and radicals with radicals

• None of the above

What is the simplified form of 3√3 * √8?

• 3√2

• 3√6

• 3√11

• 3√24

How do you simplify the fraction √16/√25?

• 4/5

• √4/5

• 4/√5

• √16/5

What is the simplified form of √75/√15?

• √5

• 5x

• √5x

• 5

How do you rationalize the denominator of 7/√3?

• Multiply by 7/3

• Multiply by √7/√3

• Multiply by 3/3

• Multiply by √3/√3