Adding and Subtracting Radicals
This worksheet focuses on developing skills in adding and subtracting radical expressions, including simplifying radicals before combining them.
Includes
Standards
Topics
Adding and Subtracting Radicals
Name:
Date:
Score:
Read each question carefully and simplify all radical expressions before combining them. Show all your work.
1. Simplify and combine: \(3\sqrt{5} + 7\sqrt{5}\)
2. Simplify and combine: \(6\sqrt{3} - 2\sqrt{3}\)
3. Simplify and combine: \(\sqrt{12} + \sqrt{27}\)
4. To add or subtract radicals, they must have the same and the same .
5. The expression \(\sqrt{50}\) can be simplified to .
6. Which of the following is equivalent to \(4\sqrt{8} - \sqrt{2}\)?
\(3\sqrt{6}\)
\(7\sqrt{2}\)
\(4\sqrt{6}\)
\(8\sqrt{2}\)
7. Simplify: \(5\sqrt{75} - 2\sqrt{12} + \sqrt{3}\)
8. Simplify: \(\sqrt{18x^3} + \sqrt{50x^3}\)