Complex Number Paradox
المؤلف:
Eves, H
المصدر:
An Introduction to the History of Mathematics, 3rd ed. New York: Holt, Rinehart, and Winston
الجزء والصفحة:
...
14-2-2022
1762
Complex Number Paradox
An improper use of the symbol 
for the imaginary unit leads to the apparent proof of a false statement.
The reason for the fallacy is that 
is not an ordinary (real) square root, hence the rule for computing the quotient of radicals does not apply to it.
REFERENCES
Eves, H. An Introduction to the History of Mathematics, 3rd ed. New York: Holt, Rinehart, and Winston, p. 385, 1969.
Gardner, M. Mathematical Puzzles and Diversions. New York: Simon and Schuster, p. 144, 1959.
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