Algebra

Radical

Name given to a numerical ou algebraic expression expressed using the symbol [latex]\sqrt{\hphantom{9}}[/latex] or [latex]\sqrt[n]{\hphantom{9}}[/latex].

Educational notes

  • The [latex]\sqrt{\hphantom{9}}[/latex] symbol is also called a "radical", but has no meaning on its own.
  • The [latex]\sqrt{\hphantom{9}}[/latex] symbol is read as "radical" or "positive square root of..."
  • In the expression [latex]\sqrt[n]{\hphantom{9}}[/latex], the number [latex]n[/latex] is called the index of the radical; the expression is called a radical of order [latex]n[/latex]. The horizontal bar that groups the radicand is called the vinculum.
  • Similar radicals are radicals with the same index or the same order.
  • Christoff Rudolff is credited with having introduced the radical symbol.

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