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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
  1. Laws of Indices with Rational Exponents and Variable BasesUp next
  2. Simplifying Nested and Compound Radical ExpressionsNot started yet
  3. Rationalizing Binomial Denominators Using ConjugatesNot started yet
  4. Rationalizing Higher-Order and Trinomial Radical DenominatorsNot started yet
  5. Solving Equations Involving Rational Exponents and SurdsYou are here
  6. Exact Arithmetic and Algebraic Manipulation with Surd ConstantsNot started yet
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Learning standards covered

GlobalOGM.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.