Slide 3: What are Radicals? Slides 4-8: Simplifying Radicals Slides 9-11: Multiplying Radicals Slides 12-15: Dividing Radicals Slides 16-19: Adding Radicals Slides 20-23: Subtracting Radicals Slides 24-29: Solving Radicals Slide 30: Sources Slide 31: THE END

index

Radicand

Radical

Index: the index is the part of the equation that tells yow how many kind you are looking for

Example:

Since there are two 3s the 3s can come out of the radicand but you only write it once.

3 3

3x3=9

333=3

2 16

2

2

22

4

8 4

2 36

18

2

2

9

33

6

Answer worked out and explained on next slide

When multiplying radicals you have to check if the indeces and radicands of both radicals match.

Use the product rule.

Ex.Different indeces

Answer worked out and explained on next slide

When dividing radicals you have to check if the indeces of both radicals match.

Then, use the quotient rule:

Ex.

NOTE:

Multiply the numerator and denominator by the denominator. This causes the radicals on the bottom to cancel out to just a WHOLE number. Only do this if necessary. If there isn’t a radical in the denominator, disregard this.

Answer worked out and explained on next slide

Steps:1. Simplify ALL radicals2. Combine "like terms“. Like terms =

same index and same radicand.

**If you don't have like terms, just leave it alone! No one wants to be forced together!**

2

2

22

4

8

Answer worked out and explained on next slide

Steps:1. Simplify ALL radicals2. Combine "like terms“. Like terms =

same index and same radicand.

**If you don't have like terms, just leave it alone! No one wants to be forced together!**

Answer worked out and explained on next slide

STEPS:1. Isolate the radical 2.Raise everything on both sides of the

equal sign to the power of the index(see page 3 if you already forget what this is)

3.Solve for x Ex.

1. Raise everything on both sides of the equal sign to the power of the index(see page 3 if you already forget what this is)

2. Solve for x Does this look familiar? It’s just like

solving equations with radicals on one side except you don’t need to isolate the variable.

Ex.

Answer worked out and explained on next slide

Answer worked out and explained on next slide

Thanks to Mrs. Ashwell’s notes that we took & notes on score

Problems- worksheets & PowerPoint from Mrs. Ashwell’s class.

Remember to keep practicing & to study !!