11
QuizMultiple Choice

Complex Numbers — Test

Question 11 • Math 4

Which expression is equivalent to the fraction with numerator 10 i and denominator 2 minus i ?

Answer
A
negative 5 i minus 2
B
4 i minus 2
C
negative 4 i minus 2
D
5 i minus 2

Explanation

Multiply the numerator and denominator by the conjugate, 2 + i: (10i)/(2 − i) = 10i(2 + i)/[(2 − i)(2 + i)] = (20i + 10i²)/5. Since i² = −1, this simplifies to 4i − 2, which is choice B.

AI-written and checked against the verified answer.

Previous
Next