Math Problem Statement
Express squareroot-4 as a complex number: squareroot-4=
Solution
The square root of is expressed as a complex number using the imaginary unit , where .
So:
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Related Questions:
- What is the square root of expressed as a complex number?
- How do we define the imaginary unit in mathematics?
- Can you calculate higher powers of , such as or ?
- What is the general form of a complex number?
- How can complex numbers be visualized on a coordinate plane?
Tip: Remember that when dealing with negative square roots, always represent them using the imaginary unit .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Square Roots
Imaginary Numbers
Formulas
\sqrt{-a} = \sqrt{a} \cdot i
Theorems
Definition of imaginary unit i
Suitable Grade Level
Grades 9-12