Rationalizing Radicals

Simplify:

• √12
• (4√3)/3
• √3
• (2√3)/3

Simplify:

• √5
• (√14)/2
• √7
• Cannot be simplified

• -2 + 2√3
• 2 + 2√3
• -2 - 2√3
• 2 - 2√3

Perform the operation.  Express your answer in simplest form.

• (2x³y√30)/(y⁴√3x)
• (2x³√30)/(y³√3x)
• (2x²√10x)/(y³)
• (2x²√5x)/(y³)

Perform the operation.  Express your answer in simplest form.

• 16√5 - 9√2
• 98
• 62
• 98-24√10

Perform the operation.  Express your answer in simplest form.

• 54√14 - 12√33
• 18√14 - 6√33
• -3√6
• 3√14 - 2√33

Perform the operation.  Express your answer in simplest form.

• 4√47
• -4√47
• 1
• 16√6  -  15√5

Simplify by rationalizing the denominator

• A
• B
• C
• D

Simplify by rationalizing the denominator

• A

• B

• C

• D

Simplify

• y²z¹⁰√xy

• 20yz√xy

• xy²z¹⁰√y

• yz⁶√xy²z²