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Irrational number to an irrational power may be rational

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Visit this site: http://www.cut-the-knot.org/do_you_know/irrat.shtml

Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: A mathematical proof of the existence of rational numbers obtained by raising irrational numbers to irrational powers. With links to pages that explain rational and irrational numbers and mathematical operations on them.

Levels: High School (9-12), Early College
Languages: English
Math Topics: Rational/Irrational Numbers

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