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Key Terms Chapter 08: Roots and Radicals

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    Example and Directions
    Words (or words that have the same definition)The definition is case sensitive(Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages](Optional) Caption for Image(Optional) External or Internal Link(Optional) Source for Definition
    (Eg. "Genetic, Hereditary, DNA ...")(Eg. "Relating to genes or heredity")The infamous double helix; Delmar Larsen
    Glossary Entries
    complex conjugate pairA complex conjugate pair is of the form \(a+bi, a-bi\)    
    complex numberA complex number is of the form \(a+bi\), where \(a\) and \(b\) are real numbers. We call \(a\) the real part and \(b\) the imaginary part.    
    complex number systemThe complex number system is made up of both the real numbers and the imaginary numbers.    
    imaginary unitThe imaginary unit \(i\) is the number whose square is \(–1\). \(i^2 = -1\) or \(i=\sqrt{-1}\).    
    like radicalsLike radicals are radical expressions with the same index and the same radicand.    
    radical equationAn equation in which a variable is in the radicand of a radical expression is called a radical equation.    
    radical functionA radical function is a function that is defined by a radical expression.    
    rationalizing the denominatorRationalizing the denominator is the process of converting a fraction with a radical in the denominator to an equivalent fraction whose denominator is an integer.    
    square of a numberIf \(n^2=m\), then \(m\) is the square of \(n\).    
    square root of a numberIf \(n^2=m\), then \(n\) is a square root of \(m\).    
    standard formA complex number is in standard form when written as \(a+bi\), where \(a\), \(b\) are real numbers.    
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