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Mathematics 20 Online
OpenStudy (anonymous):

how do I simplify this? (click to see problem)

OpenStudy (anonymous):

\[2 \over 3\sqrt[3]{5}\]

OpenStudy (anonymous):

One way to do it would be to move the 3 back into the radical then rasie the number to the power of 1/3 to remove the radical then change it to a negitive 1/3 to put it all on the top line then simplify

OpenStudy (anonymous):

hmm, you have to multiply the cubic 5 up and down ^_^:\[=\frac{2.\sqrt[3]{5}}{3\sqrt[3]{5}.\sqrt[3]{5}}= \frac{2\sqrt[3]{5}}{15}\] Correct me if I'm wrong ^_^

OpenStudy (anonymous):

That's not quite right star, because it's a cubed root you'd have to multiply it 3 times. \[\frac{2}{3\sqrt[3]{5}} = \frac{2}{3\sqrt[3]{5}} * \frac{\sqrt[3]{5}\sqrt[3]{5}}{\sqrt[3]{5}\sqrt[3]{5}} = \frac{2\sqrt[3]{25}}{15}\]

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