SOLUTION: I'm having a really hard time figuring out problems with, the cubed root? For example.. one of my homework questions says: Add and Subtract ∛2x+∛16x+∛128x-5&#87

Algebra ->  Radicals -> SOLUTION: I'm having a really hard time figuring out problems with, the cubed root? For example.. one of my homework questions says: Add and Subtract ∛2x+∛16x+∛128x-5&#87      Log On


   



Question 437637: I'm having a really hard time figuring out problems with, the cubed root?
For example.. one of my homework questions says: Add and Subtract
∛2x+∛16x+∛128x-5∛2x
one answer I came up with was 2∛2x
another answer I came up with was 12∛2x
But i'm very confused and I don't know if either one is right

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
∛2x+∛16x+∛128x-5∛2x
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Simplify:
cbrt(2x) + cbrt(2^3*2x) + cbrt(2^6*2x) - 5*cbrt(2x)
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= cbrt(2x) + 2*cbrt(2x) + 2^2*cbrt(2x) - 5*cbrt(2x)
----
= cbrt(2x) + 2cbrt(2x) + 4cbrt(2x) - 5cbrt(2x)
----
= 2*cbrt(2x)
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cheers,
Stan H.
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