Problem 85 of 7
Simplify radical cuberoot(128) by factoring perfect powers.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
extract perfect square/cube factors.
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Radicand must contain a perfect square or cube factor.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Factor the radicand to find a perfect square or cube factor.
2. Take the root of that perfect-power factor outside the radical.
3. Leave the remaining factor under the radical.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Decimal approximations when exact radical simplification is requested.