Radical Operations Worksheet
This worksheet provides practice on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 11 students.
Includes
2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False
Standards
CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.APR.D.7
Topics
MathAlgebraRadicalsGrade 11
7 sections · Free to use · Printable
Radical Operations
Name:
Date:
Score:
Read each question carefully and show all your work. Simplify all radical expressions completely.
1. Simplify the following radical expression: √72
2. Simplify: ³√108
3. The sum of 5√3 and 2√3 is .
4. Subtract: 7√5 - 3√20 = .
5. What is the product of (√6)(√10)?
a
√60
b
2√15
c
4√15
d
√16
6. Multiply: (2√3 + 1)(√3 - 4)
a
6 - 7√3
b
2√9 - 8√3 + √3 - 4
c
2 - 7√3
d
6 - 9√3
7. The expression 1/√2 can be rationalized to √2/2.
T
True
F
False
8. (√18)/(√2) simplifies to 3.
T
True
F
False
9. Rationalize the denominator: (3 + √2) / (√2 - 5)
10. Simplify the expression: ³√16x⁵y³ · ³√4x²y⁴