5-4 Dividing Radicals.notebook March 27, 2018

5-4 Dividing Radicals 1

Ex 1:

6

Basic Rules & Errors

3=

6

3=

2

1= 2 NO!!!!!

6

3= 6

3= 2 YES!!!!!

Rule: In order to reduce radicals, both numbers or variables must have radicals.

Step1: Ask - Can you reduce? NO

Step2: Ask - Can you take square roots of each? YES

==

ANSWER

Ex 2:

Step1: Do not reduce first. Take square root of top or bottom.

10

4

ANSWER

You cannot reduce further because both do not have radicals!!!

=1

2

6

3

6

3=

9-3 Dividing Radicals.notebook January 31, 2016

9-3 Dividing RadicalsChecks for Examples 1 & 2

9-3 Dividing Radicals.notebook January 31, 2016

Ex 3:

9-3 Dividing Radicals

Step1:

18

6

ANSWER

Step2:

9

6

18

6

2

Step3:

3

6

2

6

2

1

2

2

3

9-3 Dividing Radicals.notebook January 31, 2016

9-3 Dividing RadicalsChecks for Example 3

9-3 Dividing Radicals.notebook March 11, 2016

9-3 Dividing RadicalsEx 4:

Can I reduce? NO

Can I take square root? NO

Rule: You cannot have a square root in the denominator.

3

3

3

9

3

3

9

3

33

3

Step1: Multiply top and bottom by same square root.

Step2: Reduce any non-radicals.

33

3

ANSWER

9-3 Dividing Radicals.notebook March 11, 2016

69-3 Dividing RadicalsEx 5:

y

x

Step1: Multiply top and bottom by same square root.

y

x

x

x

x2

yx

x2

yx

x

yxANSWER

9-3 Dividing Radicals.notebook January 31, 2016

79-3 Dividing RadicalsChecks for Examples 4 & 5