Math Problem Statement

Diketahui z = -√3i. Bagian real z adalah ...

Solution

The question in the image asks about the real part of the complex number z=3iz = -\sqrt{3}i.

A complex number is typically written in the form z=a+biz = a + bi, where aa is the real part and bb is the imaginary part. In this case, z=3iz = -\sqrt{3}i can be rewritten as z=0+(3)iz = 0 + (-\sqrt{3})i.

Therefore, the real part of zz is 0.

The correct answer is d. 0.

Would you like any more details on this concept, or have any questions? Here are 5 related questions to deepen your understanding:

  1. What is the imaginary part of a complex number, and how is it identified?
  2. How do you graph complex numbers on the complex plane?
  3. What is the modulus of the complex number z=3iz = -\sqrt{3}i?
  4. Can you add two complex numbers? How would you add 1+2i1 + 2i and 34i3 - 4i?
  5. How do you multiply two complex numbers, such as (2+3i)×(1i)(2 + 3i) \times (1 - i)?

Tip: Always remember that the real part of a complex number corresponds to the term without the ii, while the imaginary part is the coefficient of ii.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers

Formulas

z = a + bi, where a is the real part and b is the imaginary part

Theorems

Complex Number Theorem: Real and imaginary parts of a complex number

Suitable Grade Level

Grades 10-12