Essay

Technical Support Documentation: Real Number Logic

Imagine you are a Technical Support Specialist for a business analytics firm. A client is confused because their spreadsheet software returns a 'Not a Real Number' error for the input 100\sqrt{-100}, but it accepts the input 100-\sqrt{100} and returns the value 10-10. Write a brief explanation for the client. In your response, you must recall the fundamental mathematical rule regarding the squares of real numbers and explain how the position of the negative sign (inside versus outside the radical) determines whether the result is classified as a real number.

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Updated 2026-04-20

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OpenStax

Elementary Algebra @ OpenStax

Ch.1 Foundations - Elementary Algebra @ OpenStax

Algebra

Math

Ch.9 Roots and Radicals - Elementary Algebra @ OpenStax

Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax

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