Dividing Radicals Worksheet
Grade 11 worksheet on dividing radical expressions, including rationalizing denominators.
Includes
Standards
Topics
Dividing Radicals
Name:
Date:
Score:
Simplify each radical expression. Rationalize the denominator where necessary. Show all your work.
1. Simplify: \(\frac{\sqrt{72}}{\sqrt{8}}\)
2. Simplify: \(\frac{\sqrt{48x^5}}{\sqrt{3x}}\)
3. Rationalize the denominator: \(\frac{5}{\sqrt{10}}\)
4. Rationalize the denominator: \(\frac{2\sqrt{3}}{\sqrt{6}}\)
5. Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)
6. Rationalize the denominator: \(\frac{\sqrt{5}}{3 - \sqrt{5}}\)
7. Which of the following is equivalent to \(\frac{10}{\sqrt{5}}\) ?
\(\sqrt{2}\)
\(2\sqrt{5}\)
\(5\sqrt{2}\)
\(50\)
8. The expression \(\frac{6}{\sqrt{7} - 2}\) is equal to:
\(2(\sqrt{7} + 2)\)
\(\frac{6\sqrt{7} + 12}{3}\)
\(6\sqrt{7} + 12\)
\(2\sqrt{7} - 4\)
9. \(\frac{\sqrt{18}}{\sqrt{2}} = 3\)
True
False
10. The expression \(\frac{1}{\sqrt{2}}\) is in simplest radical form.
True
False
Related Worksheets
Finding Polynomial Functions from Graphs
This worksheet helps Grade 11 students practice identifying key features of polynomial graphs and using them to construct polynomial functions.
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.
Introduction to Mathematical Proofs
This worksheet introduces grade 11 students to fundamental concepts and techniques in mathematical proofs, including direct proof, proof by contradiction, and propositional logic.
Grade 11 Matrices Worksheet
A worksheet for Grade 11 algebra students focusing on fundamental matrix operations, determinants, and inverses.
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.