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When simplifying the expression to the right, the REAL component is_____? When simplifying the IMAGINARY component is______?

User Ian Nato
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Final Answer:

When simplifying the expression to the right, the REAL component is represented as Re and the IMAGINARY component as Im.

Step-by-step explanation:

When dealing with complex numbers, they are often expressed in the form a + bi, where 'a' is the real component and 'bi' is the imaginary component. In this expression, 'a' is the REAL component (Re) and 'b' is the IMAGINARY component (Im).

The REAL component, Re, represents the part of the complex number that exists on the traditional number line. It is the horizontal component of the complex number when plotted on the complex plane. In the given expression, it would be the part to the left of the plus sign.

On the other hand, the IMAGINARY component, Im, represents the part of the complex number that involves the imaginary unit 'i' (where 'i' is the square root of -1). It is the vertical component of the complex number when plotted on the complex plane. In the given expression, it would be the part to the right of the plus sign.

To summarize, when simplifying the expression to the right, the REAL component is denoted as Re, and the IMAGINARY component is denoted as Im. These components help us understand and work with complex numbers in a clear and organized manner.

User Josh Close
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