Lesson plan
Nested radical
In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression. Examples include \sqrt{5-2\sqrt{5}\ }, which arises in discussing the regular pentagon, and more complicated ones such as \sqrt[3]{2+\sqrt{3}+\sqrt[3]{4}\ }.
Article summary
In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression. Examples include \sqrt{5-2\sqrt{5}\ }, which arises in discussing the regular pentagon, and more complicated ones such as \sqrt[3]{2+\sqrt{3}+\sqrt[3]{4}\ }.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.