Simplifying Monomial Radical Expressions

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

Explain why the radical expression is or is NOT in simplified form?

• The expression is simplified because the radicand contains no fractions

• The expression is simplified because the radicand has no​ perfect-square factors other than 1.

• The expression is not in simplified form because a radical appears in the denominator of a fraction.

• The expression is not simplified because it contains a fraction.

Simplify:

• 2√12

• 4√12

• 4√3

• 16√3

Simplify.

• 
• 
• 
• 

Simplify.

• 
• 
• 
• 

Simplify: 5√48

• 80√3

• 5√3

• 20√3

• 9√3

√343v⁸

• 7v³√7

• 7v⁴√7

• 7v⁵√7

• 7v²√7

Simplify the radical - 6√90

• 10√8

• 10√18

• 18√10

• 18√9

In simplest radical form, -5√75 is equivalent to:

• 5√3

• -15√5

• √3

• -25√3

Which of the following shows a radical expression that has been correctly simplified?