Exploring Adding and Subtracting Radical Expressions

This video tutorial covers adding and subtracting radical expressions. It begins with a review of factoring expressions and introduces the concept of simplifying radical expressions using the distributive property. The lesson progresses to combining like radicals, providing definitions and examples to clarify the process. The tutorial concludes with practice problems to reinforce the concepts taught.

What is the result of simplifying 5x + 3x?

• 5x

• 3x

• 8x

• 15x

When simplifying 8y - 2y, what is the common factor?

• None

• y

• 8

• 2

What is the simplified form of 5√10 + 3√10?

• 10√10

• 3√10

• 5√10

• 8√10

What should be factored out in the expression 8√3 - 2√3?

• 8

• 2

• √3

• None

What is a radicand?

• The number inside the square root

• The coefficient of the square root

• None of the above

• The number outside the square root

Which of the following are like radicals?

• 5√2 and 8√2

• 5√2 and 8√7

• 5√3 and 8√2

• 5√7 and 8√3

What is the simplified form of 4√27 - 5√12?

• 2√9

• 2√3

• 2√27

• 2√12

How do you simplify the square root of 18?

• √9 * √2

• √18

• √4 * √3

• √3 * √6

What is the final simplified form of 7√18 + 3√50?

• 21√3 + 15√3

• 36√3

• 21√2 + 15√2

• 36√2

What should you do if you encounter unlike radicals?

• Multiply them

• Ignore them

• Simplify them separately

• Combine them directly