Henry Ernest Dudeney/Modern Puzzles/69 - Root Extraction
Jump to navigation
Jump to search
Modern Puzzles by Henry Ernest Dudeney: $69$
- Root Extraction
- In a conversation I had with Professor Simon Greathead, the eminent mathematician, ...
- the extraction of the cube root.
- "Ah," said the professor, "it is astounding what ignorance prevails ...
- Thus, ignoring the obvious case of the number $1$, if we want the cube root of $512$, add the digits -- $8$, and there you are!"
- I suggested that that was a special case.
- "Not at all," he replied. "Take another number at random -- $4913$ -- and the digits add to $17$, the cube of which is $4913$."
- I did not presume to argue the point with the learned man,
- They are so few that they can be counted on the fingers of one hand.
Click here for solution
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $69$. -- Root Extraction
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $120$. Root Extraction