Math Problem Statement

4 - 3√-1

Solution

The expression in the image is:

4314 - 3\sqrt{-1}

Here, 1\sqrt{-1} represents the imaginary unit, often denoted by ii, where i=1i = \sqrt{-1}. Substituting ii for 1\sqrt{-1}, we can rewrite the expression as:

43i4 - 3i

This expression is in the form of a complex number, where 44 is the real part, and 3i-3i is the imaginary part.

Final Answer:
The simplified form of the expression is:

43i4 - 3i

Would you like further details or have any questions?


Here are some related questions to expand on this concept:

  1. What is the significance of the imaginary unit ii in complex numbers?
  2. How do you add or subtract complex numbers?
  3. What is the modulus (magnitude) of the complex number 43i4 - 3i?
  4. How can you multiply or divide complex numbers?
  5. How is the complex plane used to visualize complex numbers?

Tip: When dealing with square roots of negative numbers, always consider if they involve imaginary units.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Imaginary Unit

Formulas

√-1 = i

Theorems

Properties of Imaginary Numbers

Suitable Grade Level

Grades 9-12