Summary: Simplifying and Using Square Roots

Key Concepts

  • Square Root Notation [latex]\sqrt{m}[/latex] is read ‘the square root of [latex]m[/latex] ’.  If [latex]m={n}^{2}[/latex] , then [latex]\sqrt{m}=n[/latex] , for [latex]n\ge 0[/latex] .
  • Use a strategy for applications with square roots.
    • Identify what you are asked to find.
    • Write a phrase that gives the information to find it.
    • Translate the phrase to an expression.
    • Simplify the expression.
    • Write a complete sentence that answers the question.