In the equation n\(^{3}\) = N, the real number n whose cube is equal to N.
Symbols
The cube root of N is written as \(\sqrt[3]{N}\) and is read as “the cube root of N“.
Examples
- If x\(^{3}\) = 1000, then \(\sqrt[3]{1000}\) = 10, since 10 × 10 × 10 = 1000.
- If x\(^{3}\) = –1000, then \(\sqrt[3]{–1000}\) = –10, since –10 × –10 × –10 = –1000.
- If x\(^{3}\) = 0.125, then \(\sqrt[3]{0.125}\) = 0.5, since (0.5) × (0.5) × (0.5)= 0.125.
- If x\(^{3}\) = \(\frac{1}{8}\), then \(\sqrt[3]\frac{1}{8}\) = \(\frac{1}{2}\), since \(\frac{1}{2}\) × \(\frac{1}{2}\) × \(\frac{1}{2}\) = \(\frac{1}{8}\)