Dividing Complex Numbers (1.12.5)

Question 1

• Clearing a denominator of radicals means to multiply the fraction by a version of 1. Your version of 1 will be the radical over itself. So, the denominator multiplies out the radical to clear it, and the numerator gets a radical.

Answer 1

• Clearing a denominator of radicals means to multiply the fraction by a version of 1. Your version of 1 will be the radical over itself. So, the denominator multiplies out the radical to clear it, and the numerator gets a radical.

Question 2

• A conjugate is used when fractions have radicals or imaginary numbers in their denominators as a means of clearing those values from the denominators, or rationalizing the denominator.

Answer 2

• A conjugate is used when fractions have radicals or imaginary numbers in their denominators as a means of clearing those values from the denominators, or rationalizing the denominator.

Question 3

• i = sqrt-i

Answer 3

• i = sqrt-i

Question 4

• i^2 = -1

Answer 4

• i^2 = -1