Key Terms
- 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 is the number whose square is –1. i2 = –1 or
- 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 where a, b are real numbers.