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the claim

Leonhard Euler made the algebraic error multiplying square roots of negative numbers

the verdict

SUPPORTED

the evidence backs this

confidence 75/100

Historical sources and mathematical discussions confirm that Leonhard Euler wrote out the multiplication of square roots of negative numbers in a way that modern mathematicians call an error, though it aligned with his own definitions at the time.

Evidence for · 2

tandfonline.com: Euler's “Mistake”? The Radical Product Rule in Historical Perspective

cited by 0

The article title explicitly addresses Euler's alleged mistake with the radical product rule.

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More for · 1

skeptics.stackexchange.com: Did Euler make the elementary mistake √-2 √-3 = √6?

cited by 0

Confirms Euler wrote that expression, though notes it followed his own definitions.

The paper trail · every fact has a biography

first checked31 Jul 2026

judged → SUPPORTED · 7531 Jul 2026

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