Taking down a cube root… by hand!
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In "drip-feed" calculation algorithms, the digits come down one at a time, like the drops of an IV drip. But watch out for calculation errors! The slightest carrying error in the operations (which quickly involve gigantic numbers) is fatal, and the calculation then becomes unrecoverable. In the case of cube root extraction, the process uses only squarings, multiplications, subtractions… and knowledge of the cubes of the numbers from 1 to 9. That said, it helps to have already thoroughly grasped the "drip-feed" square root algorithm (see the short article "Extraction de racines"). The case of the cube root is a diabolical generalization of it, far more tedious to carry out than a simple search by trial and error, approximation, and bracketing…
Watch your step…
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