Grade 12 Radical Operations Worksheet
This worksheet provides practice with simplifying, adding, subtracting, multiplying, and dividing radical expressions.
Includes
4 Short Answer
Standards
CCSS.MATH.CONTENT.HSN.RN.A.2
Topics
MathAlgebraRadicalsGrade 12
6 sections · Free to use · Printable
Radical Operations
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Read each question carefully and show all your work. Simplify all radical expressions completely.
Simplify the following radical expressions:
1. \(\sqrt{128x^5y^8}\)
2. \(\sqrt[3]{54a^7b^3c^9}\)
Perform the indicated operations and simplify:
3. \(3\sqrt{20} - 2\sqrt{45} + \sqrt{5}\)
4. \(5\sqrt[3]{16} + \sqrt[3]{128} - 2\sqrt[3]{2}\)
Multiply and simplify the following expressions:
5. \((4\sqrt{3} - \sqrt{2})(2\sqrt{3} + 5\sqrt{2})\)
6. \((\sqrt{x} + \sqrt{y})^2\)
Rationalize the denominator and simplify:
7. \(\frac{6}{\sqrt{3}}\)
8. \(\frac{10}{3 + \sqrt{5}}\)