Grade 9 Radical Operations Worksheet
This worksheet provides practice problems on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 9 students.
Includes
Standards
Topics
Radical Operations
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Read each question carefully and perform the indicated radical operations. Simplify all answers completely.
Simplify the following radical expressions.
1. √72
2. ³√108
3. √(50x³)
Add or subtract the following radical expressions.
4. 5√3 + 2√3
5. 7√12 - 4√3
6. √20 + √45 - √5
Multiply the following radical expressions.
7. (√6)(√3)
8. (2√5)(3√10)
9. √2(√8 + √18)
Divide and rationalize the denominator where necessary.
10. √48 / √3
11. 10 / √5
12. 6 / (√7 - √3)
13. Which of the following is equivalent to (√x + 3)(√x - 3)?
x - 9
x + 9
x
√x² - 9
Complete the following statements.
14. To add or subtract radical expressions, they must have the same and .
15. The process of removing a radical from the denominator of a fraction is called .