Understanding Addition and Subtraction of Surds

In this video, Lucy introduces the concept of adding and subtracting surds, emphasizing the importance of having the same square root number to perform these operations. She explains that the numbers outside the square root should be treated as one entity, while the number inside the square root is considered a letter. The video includes practice problems for viewers to try simplifying and subtracting surds. Finally, Lucy briefly introduces the concept of rationalizing the denominator, which will be covered in another video.

What should you know before learning to add and subtract surds?

• How to simplify surds

• How to multiply surds

• How to rationalize surds

• How to divide surds

What is the key rule for adding and subtracting surds?

• The numbers outside the square root must be the same

• The square root numbers must be the same

• The surds must be rationalized

• The surds must be in simplest form

Why can't you subtract √5 from √3?

• Because they are different types of numbers

• Because they are not in simplest form

• Because they are already simplified

• Because their square root numbers are different

What should you do before adding or subtracting surds?

• Divide them

• Multiply them

• Simplify them

• Rationalize them

What is the result of simplifying and then subtracting √12 - √3?

• √3

• √2

• √6

• √9

What is the next topic to be covered after learning about adding and subtracting surds?

• Simplifying complex surds

• Rationalizing the denominator

• Dividing surds

• Multiplying surds