Question Detail
Question
The modulus and argument of \( \sqrt{3} + \sqrt{2}i \) are
Correct Answer
Option A is the correct answer.
Detailed Explanation
For z = a + bi, modulus = √(a²+b²) = √((√3)² + (√2)²) = √(3+2) = √5. Argument θ = tan⁻¹(b/a) = tan⁻¹(√2/√3) = tan⁻¹(√(2/3)).
Hint
Modulus = √(a²+b²), argument = tan⁻¹(b/a) with quadrant considered.