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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.
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 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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