Simplify Cube Root Calculator
Simplify \( \sqrt[3]{N} \) using prime factorization. Step-by-step explanations.
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Simplify \( \sqrt[3]{N} \)
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Enter a number and click "Simplify \( \sqrt[3]{n} \)"
Examples
\( \sqrt[3]{216} = 6 \) | \( \sqrt[3]{128} = 4\sqrt[3]{2} \) | \( \sqrt[3]{54} = 3\sqrt[3]{2} \) | \( \sqrt[3]{7} \) cannot be simplified (prime)
Cube root rule:
group prime factors in triples. Each triple becomes one factor outside the radical.
Cannot simplify when:
the number has no prime factor appearing 3 or more times (e.g., prime numbers, product of distinct primes).