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Mathematics · Grade 11

Radicals and Rational Exponents

Learners extend the exponent laws to rational exponents and see why a^1/n^ must mean the nth root. They simplify and combine radicals, rationalize denominators, solve radical equations while checking for extraneous solutions, and analyze square root and cube root functions and models such as a pendulum's period.

  • 4 lessons
  • About 120 minutes
  • Radicals and rational exponents check: 12 questions
  • Ways to answer: choose an answer, type a fraction, plot points, match pairs, type a number and true or false
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What learners will discover

  • Explain rational exponents using the exponent laws, convert between radical and exponent forms, and evaluate expressions such as 27^2/3^.
  • Simplify radical expressions, add, subtract and multiply radicals, and rationalize denominators.
  • Solve radical equations and equations with rational exponents, identifying extraneous solutions.
  • Analyze square root and cube root functions (domain, range, transformations) and use radical models in context.

Lessons

  1. What rational exponents mean 6 steps3 practiceabout 28 min
  2. Working with radicals 6 steps4 practiceabout 30 min
  3. Radical equations 6 steps4 practiceabout 32 min
  4. Root functions and models 6 steps3 practiceabout 28 min
  5. Radicals and rational exponents check 12 questions at the end

Keep exploring

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Guide for grown-ups