Adding and Subtracting Radicals with Variables

Simplify the expression: -3√6x - 3√6x.

• -6√6x

• 0

• 6√6x

• -6√12x

Simplify the expression: 2√3ab - 3√3ab.

• -√3ab

• √3ab

• 5√3ab

• -√6ab

Simplify the expression: -√5wz + 2√5wz.

• √5wz

• -3√5wz

• -√5wz

• √10wz

Simplify the expression: -3√2np + 2√2np.

• -√2np

• -5√2np

• -√4np

• √2np

When adding or subtracting radicals step 2 tells us to: ​ (a)   radicals with the ​ (b)   ​ (c)   and ​ (d)   ​ (e)   . Only these can be combined!

• Identify

• same

• index

• radicand

• A
• B
• C
• D

√2

• 17√2

• 9√1

• 9

• 9√2

• A

• B

• C

• D

• A
• B
• C
• D

Q1. What is the value of the expression?

• A) 11√5

• B) 11√10

• C) 5√5

• D) 12√10