Exploring Adding and Subtracting Radicals

The video tutorial covers the process of adding and subtracting radicals, emphasizing the concept of like terms. It provides examples of simplifying radicals, combining terms, and reducing radicals to find like terms. The tutorial also explores cube roots, offering advanced techniques for simplification, and concludes with handling square roots of binomials using the greatest common factor (GCF).

What should you consider radicals as when adding or subtracting them?

• Coefficients

• Like terms

• Constants

• Exponents

In the expression 4√5 - 7√5 - 8√5, what is the final result?

• 3√5

• -11√5

• 11√5

• -3√5

How do you combine 8√6 + 1√6?

• 10√6

• 8√6

• 9√6

• 7√6

What is the simplified form of 2√27?

• 12√3

• 9√3

• 6√3

• 3√3

What is the result of combining 6√3 + 4√3 - 6√3?

• 2√3

• 6√3

• 0

• 4√3

What is the cube root of 16 simplified?

• 4√2

• 2√2

• 12√2

• 8√2

How do you simplify the cube root of 54?

• 6√2

• 9√2

• 3√2

• 12√2

What is the simplified form of the cube root of 27x?

• 9√x

• 81√x

• 3√x

• 27√x

How do you simplify the expression √(9(x+2))?

• √(3(x+2))

• 9√(x+2)

• √(9x+18)

• 3√(x+2)

What is the final result of combining 3√(x+2) and 5√(x+2)?

• √(8x+16)

• 15√(x+2)

• 8√(x+2)

• 2√(x+2)