Indicate whether the statement is true always, sometimes, or never.
-$$\text { To find the quotient } \frac { 10 + 3 \mathrm { i } } { 10 - 3 \mathrm { i } } \text {, multiply numerator and denominator by } 10 + 3 \mathrm { i } \text {. }$$
A) Never
B) Sometimes
C) Always

Question

Quizplus · Accepted Answer

To find the quotient of complex numbers in the form $\frac{a+bi}{c+di}$, one common method is to multiply both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part in the denominator. In this case, multiplying by $10 + 3i$, the conjugate of $10 - 3i$, is a correct approach to simplify the expression, making the statement always true.

Indicate Whether the Statement Is True Always, Sometimes, or Never