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 Cube roots Estimate cube roots Some numbers do not have an exact cube root. You then have to estimate a value, based on known cube roots that are less or greater than the given value. Estimate $\sqrt[3]{38}$ 27 < 38 < 64 $\sqrt[3]{27}<\sqrt[3]{38}<\sqrt[3]{64}$ $3<\sqrt[3]{38}<4$ The answer is 3 because 38 is closer to 27 than it is to 64. Estimate $\sqrt[3]{32}$ You can work out that the answer has to be a value between 3 and 4, because the cube root of 27 is 3 and the cube root of 64 is 4. The answer will also be closer to 3 than to 4, because 32 is closer to 27 than it is to 64.