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Key Terms Chapter 08: Roots and Radicals

Last updated

May 16, 2022
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- Key Terms Chapter 07: Rational Expressions and Functions
- Key Terms Chapter 09: Quadratic Equations and Functions

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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	https://bio.libretexts.org/	CC-BY-SA; Delmar Larsen

Glossary Entries
Word(s)	Definition	Image	Caption	Link	Source
complex conjugate pair	A complex conjugate pair is of the form $a+bi, a-bi$
complex number	A 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 system	The complex number system is made up of both the real numbers and the imaginary numbers.
imaginary unit	The imaginary unit $i$ is the number whose square is $–1$ . $i^2 = -1$ or $i=\sqrt{-1}$ .
like radicals	Like radicals are radical expressions with the same index and the same radicand.
radical equation	An equation in which a variable is in the radicand of a radical expression is called a radical equation.
radical function	A radical function is a function that is defined by a radical expression.
rationalizing the denominator	Rationalizing 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 number	If $n^2=m$ , then $m$ is the square of $n$ .
square root of a number	If $n^2=m$ , then $n$ is a square root of $m$ .
standard form	A complex number is in standard form when written as $a+bi$ , where $a$ , $b$ are real numbers.

complex conjugate pair | A complex conjugate pair is of the form $a+bi, a-bi$

complex number | A 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 system | The complex number system is made up of both the real numbers and the imaginary numbers.

imaginary unit | The imaginary unit $i$ is the number whose square is $–1$ . $i^2 = -1$ or $i=\sqrt{-1}$ .

like radicals | Like radicals are radical expressions with the same index and the same radicand.

radical equation | An equation in which a variable is in the radicand of a radical expression is called a radical equation.

radical function | A radical function is a function that is defined by a radical expression.

rationalizing the denominator | Rationalizing 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 number | If $n^2=m$ , then $m$ is the square of $n$ .

square root of a number | If $n^2=m$ , then $n$ is a square root of $m$ .

standard form | A complex number is in standard form when written as $a+bi$ , where $a$ , $b$ are real numbers.

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