AI Tutor

Premium Lesson

Upgrade to unlock this lesson, practice questions, and your personal tutor.

This lesson is part of a track

Public learning track

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 ConjugatesYou are here
  4. Rationalizing Higher-Order and Trinomial Radical DenominatorsNot started yet
  5. Solving Equations Involving Rational Exponents and SurdsNot started yet
  6. Exact Arithmetic and Algebraic Manipulation with Surd ConstantsNot started yet
View full track

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.