Exam Review Day 3

Exam Review Day 3

Simplify radicals

Use the tree method like on the right.

Circle your pairs like the 3s and that number goes on the outside.

The numbers you do not circle like 2 and 3 get multipled and remain on the inside

Simplify radicals

• In this example you have a pairs of 3s and a pair of 2s

• You would multiply 2 and 3 together to get 5

• There is one 2 that would not be paired up so that remains on the inside.

Multiple Choice

√80 =

• 16√5

• 2√20

• 4√5

• 8√5

Multiple Choice

√45 =

• 3√5

• 5√3

• 9√5

• 5√9

Multiple Choice

√28 =

• 7√2

• 7√4

• 4√7

• 2√7

Multiple Choice

√24 =

• 4√6

• 2√6

• 6√2

• 2√12

Multiple Choice

• A
• B
• C
• D

Simplify radicals with variables

• When you have variables write them out in expanded form like on the top row

• Circle you pairs

• 2 circles means 2 xs can go on the outside. does not mean 2x but x squared

• The uncircled x remains on the inside

Multiple Choice

Simplify. Assume the variable is greater or equal to zero.  $\sqrt{75g^3}$  

•  $5g\sqrt{3g}$  

•  $3g\sqrt{5g}$  

•  $75\sqrt{g^3}$  

•  $15\sqrt{3g^3}$  

Multiple Choice

Simplify:

• 8x⁹
• 8x³
• 8x⁴√x
• 8x³√x

Multiple Choice

Simplify completely.

• 3v√2v

• 3v√2v³

• v√18v

• 9v√v

Multiple Choice

Simplify

• x²y√xy
• xy
• x²y²
• Can't Simplify

Multiply Radicals

• When multiplying radicals you can multiply the numbers inside the radicals

• 
  

• 
  

• 
  

Add and Subtract Radicals

• You can add and subtract radicals as long as the number under the radical is the same

Multiple Choice

Simplify

Multiple Choice

Simplify 
-10√7 + 12√7

• -2
• -2√7
• 2√7
• Already simplified 

Multiple Choice

Simplify 
3√6 - 4√6

• -√6
• √6
• -1
• Already simplified 

Divide radicals

• When dividing radicals you can simplify the two numbers like the 18 and 2

• You can simplify the radical if possible like the square root of 9

Multiple Choice

Simplify the following:

 $\frac{\sqrt{18}}{\sqrt{3}}$  

•  $\sqrt{54}$  

•  $\sqrt{21}$  

•  $\sqrt{6}$  

•  $\sqrt{15}$  

Multiple Choice

Simplify the following:

 $\frac{\sqrt{30}}{\sqrt{3}}$  

•  $\sqrt{90}$  

•  $\sqrt{33}$  

•  $\sqrt{27}$  

•  $\sqrt{10}$  

Multiple Choice

Simplify the following:

 $\frac{\sqrt{8}}{\sqrt{4}}$  

•  $\sqrt{4}$  

•  $\sqrt{2}$  

•  $\sqrt{32}$  

•  $\sqrt{8}$