Adding and Subtracting Radicals Explained

In this video, George Woodbury from College of the Sequoias explains how to add and subtract radical expressions. He introduces the concept of like radicals, which have the same radical sign and radicand, and demonstrates how to combine them similarly to like terms. The video includes examples of adding and subtracting like radicals, simplifying non-like radicals, and working with cube roots. The instructor also provides contact information for further questions.

What are like radicals?

• Radicals with the same radicand and index

• Radicals with the same coefficient

• Radicals with different radicands

• Radicals with different indices

Which of the following pairs are like radicals?

• 3√6 and 2√6

• 7∛6 and 4√6

• 3√6 and 2√5

• 5√6 and 9√5

How do you add 7√2 and 19√2?

• 19√2

• 7√21

• 26√4

• 26√2

What is the result of 5√3 - 11√3?

• 6√3

• 16√3

• Negative 6√3

• Negative 16√3

How can you simplify √45?

• 3√5

• 9√5

• 5√3

• √9

What is the simplified form of 7√8?

• 7√4

• 14√2

• 7√2

• 14√4

Combine 14√2 and 30√2.

• 14√32

• 30√2

• 44√2

• 44√4

What is the result of combining -12√5 and 42√5?

• Negative 54√5

• 30√5

• Negative 30√5

• 54√5

How do you simplify the cube root of 40?

• 12∛5

• 6∛5

• 2∛5

• 8∛5

What is the result of 12∛5 + 12∛5 - 9∛5?

• 12∛5

• 3∛5

• 21∛5

• 15∛5