Adding and Subtracting Radicals Explained

This video tutorial covers the addition and subtraction of radical expressions. It begins with a review of like and unlike radicals, explaining that like radicals have the same radicand. The tutorial then outlines the process of adding and subtracting radicals by simplifying them and combining like terms. Several examples are provided, ranging from basic to more complex expressions, demonstrating how to simplify and combine radicals effectively. The video concludes with a summary of the key steps and concepts involved in working with radical expressions.

What are like radicals?

• Radicals with different coefficients

• Radicals with the same coefficient

• Radicals with different radicands

• Radicals with the same radicand

Which of the following pairs are unlike radicals?

• 2√3 and 5√3

• 6√5 and 4√7

• 7√3 and 7√3

• 3√2 and 3√2

What is the first step in adding or subtracting radical expressions?

• Multiply the radicals

• Divide the radicals

• Combine the coefficients

• Check if the radicals are simplified

How do you combine 9√11 and 3√11?

• 27√11

• 6√11

• 11√11

• 12√11

What is the result of 15√3 - 4√3?

• 7√3

• 11√3

• 9√3

• 19√3

If you have 3√20, what is the simplified form?

• 3√5

• 2√5

• 6√5

• 3√4

What is the simplified form of 2√27?

• 6√3

• 3√9

• 4√3

• 2√9

Combine the terms: 4√3 + 4√3 - 6√3 - 6√3.

• -4√3

• -2√3

• 4√3

• 2√3

What is the result of combining -2√2 and 3√5 - 3√5 + 2√5?

• 0

• 2√2

• -2√2

• 2√5

Simplify and combine: 2√12 + 2√12 - 2√27 - 2√27.

• 4√3

• 0

• 2√3

• -4√3