Pre-Calculus 11 Notes

By: Gen L.

In partnership with Hyperion University, 2023

Lesson 1: Radicals & Square-Root Principle

Simplifying Radicals

  • Converting Full Radicals to Mixed Radicals
    • To convert, one of the factors must be a perfect.
  • Example 1: Convert to Mixed Radical.
    • , where .
    • works, let's try:
      • is our result.

Square-Root Principle

  • where , becomes .
  • To Solve: isolate , then take on both sides.
  • Example:

Square of a Binomial

  • Isolate the binomial, take the , solve the two resulting equations.
  • Example:
    • , or

Examples:

Examples, cont:

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