Operations with Radicals
This worksheet focuses on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 11 math students.
Includes
Standards
Topics
Operations with Radicals
Name:
Date:
Score:
Read each question carefully and follow the instructions to simplify, add, subtract, multiply, or divide the radical expressions. Show all your work.
Simplify the following radical expressions. (2 points each)
1. √72
2. ³√108
Complete the following addition and subtraction problems. (3 points each)
3. 5√3 + 2√3 =
4. 7√48 - 2√12 =
5. ³√54 + 5³√16 =
6. Which of the following is equivalent to (2√5)(3√10)?
6√50
30√2
10√15
6√15
Multiply and simplify the following expressions. (3 points each)
7. (√7 - 2)(√7 + 5)
8. (3√2 + √6)²
Divide and rationalize the denominator where necessary. (4 points each)
9. √48 / √3
10. 5 / √10
11. (4 + √2) / (3 - √2)