Radical Unit Square Roots of Prefect Squares

Medina 1

Radical Unit

• Radical:

• Radicand:

• Index:

Medina 2

64

The number inside the radical symbol

Identifies the root of the radical symbol

²

Radical Unit

Medina 3

64³Square Root Cube Root

8

The number being multiplied to itself to get the radicand

The number being multiplied to itself 3

times to get the radicand

4

Ask yourself, what times it self equals 64? 

Ask yourself, what number times itself 3 times equals 64? 

8 8 3 4 4 4

Radical Unit

• Positive Root

• Negative Root:

• Positive & Negative Roots:

• Undefined Root:

Medina4

64

64

64

8

-8

± 8

64

Radical Unit

Medina 5

9

49

3

7

Radical Unit

Medina 6

3 16

12

3 4

Radical Unit

x • x =x²

What is the value of ?2x

Ask yourself, what times it self equals x²?  

2x

x

Radical Unit What is the value of ?6x

Another way to look at this is to expand the radicand, and for every set of 2 inside the radical, one term comes out. 

• • • • • x x x x x x

3x

Radical Unit What is the value of ?625x

Another way to look at this is to expand the radicand, and for every set of 2 inside the radical, one term comes out. 

5 5 • • • • • x x x x x x 3x5

Solving Equations with Perfect Squares

Medina 10

5x

2 25xTo Solve:

Means there are 2 answers

2 25x

Solve:

Medina 11

3. Simplify the radical

1. Get the letter by itself2. Square root both sides and write ±

variable

Solving Equations with Perfect Squares

Solving Equations with Perfect Squares

Medina 12

5x

23 75xTo Solve:

Means there are 2 answers 2x

3 3 25