Keystone Radicals

Which value could be the side length, in units, of a square based on the information given below?

• √4

• √12

• √30

• √56

Which expression also represents the exact length of the rectangular diagonal given below?

• 9.9

• 3√11

• 9√11

• 49.5

Solve the Keystone Question below:

• √12

• √36

• √43

• √48

Which is equivalent to the expression given below?

• 12√5x

• 5√40x

• 6√40x

• 48√5x

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:

• A

• B

• C

• D

• 
• 
• 
•