# Adding and Subtracting Surds - PowerPoint PPT Presentation

1 / 11

Adding and Subtracting Surds. Slideshow 8, Mr Richard Sasaki, Room 307. Objectives. Be able to convert numbers in index form into fractions and surds Understand the values of surds that cannot be simplified Be able to add and subtract surds together. Index Form.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

#### Presentation Transcript

Slideshow 8, Mr Richard Sasaki, Room 307

### Objectives

• Be able to convert numbers in index form into fractions and surds

• Understand the values of surds that cannot be simplified

• Be able to add and subtract surds together

### Index Form

• Let’s review some rules about index form.

• Writing numbers in surd form can help us simplify them further.

### Index Form

• Examples

• Write in surd form.

• Write in surd form.

• Just try to remember that and . If is a surd then the denominator must be changed to an integer.

### Simplifying Surds

• Surds are often in the form…

• If is in its simplest form, what values can take?

• 10,

• 6,

• 5,

• 2,

• 3,

• 7,

• These are the numbers that do not have square factors (other than 1).

• Example

• How can we simplify ?

• If the radicands are the same, we can easily add roots together.

Simplify

• If there are fractions, we need to make the denominators the same too.

• Example

• How can we simplify ?

• If the radicands are the same, we can easily add roots together.

Simplify

• If there are fractions, we need to make the denominators the same too.

• Example

• Can we simplify ?

• No we can’t. Both and are in their simplest forms. So we just leave it the same.

Simplify

• Let .

• .

• This is one method…

• But .

• .

• or