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: \(\sqrt{18x^3} + \sqrt{50x^3}\)
Related Worksheets
Radical Operations Worksheet
This worksheet provides practice on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 11 students.
Inductive Reasoning Worksheet
A Grade 11 math worksheet focusing on inductive reasoning, pattern recognition, and forming conjectures.
Conditional Statements Worksheet
Grade 11 Math worksheet focusing on conditional statements, converses, inverses, contrapositives, and biconditionals.
Solving Polynomial Equations Worksheet
Grade 11 Math worksheet focusing on solving polynomial equations, including factoring, rational root theorem, and synthetic division.
Grade 11 Matrices Worksheet
A worksheet for Grade 11 algebra students focusing on fundamental matrix operations, determinants, and inverses.
Dividing Radicals Worksheet
Grade 11 worksheet on dividing radical expressions, including rationalizing denominators.
Properties of Equality Worksheet
Explore and apply the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties with algebraic expressions.
Combining Polynomials Worksheet
A Grade 11 math worksheet focused on combining polynomials through addition, subtraction, and multiplication, including special products.