Intermediate Algebra 2e

# Key Terms

complex conjugate pair
A complex conjugate pair is of the form a + bi, abi.
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 $ii$ is the number whose square is –1. i2 = –1 or $i=−1.i=−1.$
An equation in which a variable is in the radicand of a radical expression is called a radical equation.
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 n2 = m, then m is the square of n.
square root of a number
If n2 = m, then n is a square root of m.
standard form
A complex number is in standard form when written as $a+bi,a+bi,$ where a, b are real numbers.
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