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Exact Arithmetic and Algebraic Manipulation with Surd Constants

Advanced Surd Algebra, Rational Exponents, and Radical Conjugates

11th Grade·Math·Open Global Math

Updated 1 month ago · 3 views

Evaluate, expand, and factor expressions involving irrational constants like √2, √3, and golden ratio proportions without decimal approximations.

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Advanced Surd Algebra, Rational Exponents, and Radical Conjugates

11th Grade · Math · Open Global Math

6 lessons

Goal

Manipulate complex surd expressions, apply index laws across all rational exponents, and rationalize multi-term radical denominators.

6 lessons

0 of 6 done

Laws of Indices with Rational Exponents and Variable BasesUp next
Simplifying Nested and Compound Radical ExpressionsNot started yet
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Solving Equations Involving Rational Exponents and SurdsNot started yet
Exact Arithmetic and Algebraic Manipulation with Surd ConstantsYou are here

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Learning standards covered

OGM.12.NUM.2Open Global Math Standards 2026™ · 11th Grade

Analyze real number representations, density, and completeness; manipulate rational exponents and surds, including rationalizing denominators and applying index laws across all rational powers.