Cube Root Calculator

Formula and methodology

The real cube root is the number r for which r³ = x. Unlike an even root, a real cube root exists for every negative real input. The implementation uses Math.cbrt or its sign-preserving equivalent.

Worked example

∛27 = 3 exactly, ∛(−8) = −2 exactly, and ∛2 ≈ 1.2599210499.

Assumptions and boundaries

• Perfect safe-integer cubes are labeled exact.
• Other results are labeled approximate and displayed with controlled precision.
• Square Root Calculator retains square-root and simplified-radical intent.
• Exponent Calculator retains general exponent intent.

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