Adding and Subtracting Radicals Worksheet
Practice adding and subtracting radical expressions with this Grade 10 math worksheet. Includes simplification and combining like terms.
Includes
Standards
Topics
Adding and Subtracting Radicals
Name:
Date:
Score:
Simplify each radical expression by adding or subtracting like terms. Show all your work.
1. Simplify the expression: \( 3\sqrt{5} + 2\sqrt{5} \)
2. Simplify the expression: \( 7\sqrt{3} - 4\sqrt{3} + \sqrt{3} \)
3. Simplify the expression: \( \sqrt{12} + \sqrt{27} \)
4. To add or subtract radicals, they must have the same and the same .
5. The simplified form of \( 5\sqrt{8} - \sqrt{2} \) is .
6. Which of the following expressions is equivalent to \( \sqrt{50} + \sqrt{18} \)?
\( 8\sqrt{2} \)
\( \sqrt{68} \)
\( 2\sqrt{5} + 2\sqrt{3} \)
\( 7\sqrt{2} \)
7. Simplify the expression: \( \sqrt{75} - \sqrt{12} + \sqrt{48} \)
8. Simplify the expression: \( 4\sqrt{20} + 3\sqrt{45} - \sqrt{5} \)
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.