Distributing With Radicals

Multiply using the distributive property OR box method -- whichever you prefer!
REMEMBER: After distributing, make sure you SIMPLIFY!
√6  (  3 + √3)

• 5√3  + √30

• 5√2  +  3

• √30  +  8

• 3√6  +  3√2

Multiply using the distributive property OR box method -- whichever you prefer!
REMEMBER: After distributing, make sure you SIMPLIFY!
-5√15  (√6  +  2)

• √30  +  24

• 11√2

• -15√10  -  10√15

• 3√3  -  3√30

Multiply using BOX METHOD ONLY!
REMEMBER: look to COMBINE LIKE TERMS and CHECK FOR PERFECT SQUARES!
(√5  + √3) (√3  + √3)

• 0

• -40  +  26√15

• 2√15  +  6

• √15 +  3

Multiply using BOX METHOD ONLY!
REMEMBER: look to COMBINE LIKE TERMS and CHECK FOR PERFECT SQUARES!
(√3   -  4) (√3  +  4)

• -7  -  4√6

• 11

• -9  -  3√6

• -13

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

When distributing radicals, what operation is occurring?

• Addition

• Subtraction

• Division

• Multiplication

• A
• B
• C
• D

Divide:

• √12

• (4√3)/3

• √3

• (2√3)/3