Exploring Adding and Subtracting Radicals

This video tutorial covers the process of adding and subtracting radicals. It begins with simplifying radicals to their lowest terms and identifying like terms, similar to algebraic expressions. The tutorial provides examples and practice problems to demonstrate how to combine like terms by adding or subtracting coefficients while keeping the radical part unchanged. Advanced concepts are introduced, including simplifying complex radicals and handling variables. The video concludes with practice exercises to reinforce the learned concepts.

What is the first step in adding and subtracting radicals?

• Divide the radicals

• Multiply the coefficients

• Simplify radicals to their lowest terms

• Combine like terms

When can you combine radicals?

• When they are both integers

• When they have the same coefficient

• When they have the same radical part

• When they are both simplified

What is the result of combining 4√5 and 6√5?

• Cannot be combined

• 2√5

• 24√5

• 10√5

What is the simplified form of 7√2 - 3√2 + 5√2?

• Cannot be simplified

• 4√2

• 9√2

• 15√2

How do you simplify 4√12?

• 4√3

• 8√3

• Cannot be simplified

• 2√3

What is the simplified form of 3√27?

• Cannot be simplified

• 6√3

• 9√3

• 3√3

What is the result of combining 8√3 and 9√3?

• 17√3

• 1√3

• 72√3

• Cannot be combined

How do you identify like terms when variables are involved?

• They must have the same coefficient

• They must have the same variable and radical part

• They must be integers

• They must be simplified

What is the simplified form of 4p√7 + 3p√7?

• 1p√7

• 12p√7

• Cannot be simplified

• 7p√7

What is the result of combining 7p√7 and -12p√6?

• Cannot be combined

• 7p√7 - 12p√6

• 19p√13

• 5p√1