Formula and interpretation
∛x is the number that multiplied by itself three times equals x.
Unlike square roots, real cube roots exist for negative values.
Worked check
A simple exact check is ∛27 = 3 because 3 × 3 × 3 = 27. Real cube roots also work for negative numbers: ∛(-8) = -2. That differs from the real square-root rule for negative inputs.
Rule: ∛x is the number that multiplied by itself three times equals x. Unlike square roots, real cube roots exist for negative values. For a final check, estimate the expected size of the answer before copying it, keep units consistent, and round only the displayed result rather than intermediate values. Re-enter one simple case by hand when possible; a result with the wrong sign or order of magnitude usually points to an input or reference-base mistake.