Originally Posted by

**MistaMista** forgive me but i dont know how to do this in Latex

cubed root(-81xcubed) - 2x cubed root(3) + 5x cubed root(24)

i dont need to solve i just need to simplify.

I think i have some idea like for cubed root 81 do i find a smaller number cubed to take out? what?

That's ok, in LaTeX, this would be:

Code:

\sqrt[3]{-81x^3}-2x\sqrt[3]{3}+5x\sqrt[3]{24}

Be sure to put the code in the "math" tags

$\displaystyle \sqrt[3]{-81x^3}-2x\sqrt[3]{3}+5x\sqrt[3]{24}$

Simplifying, we get

$\displaystyle \sqrt[3]{(-3)^3x^3}-2\sqrt[3]{3}x+5x\sqrt[3]{2^3\times 3}$

$\displaystyle \implies -3x-2\sqrt[3]{3}x+5x(2\sqrt[3]{3})$

$\displaystyle \implies (-3-2\sqrt[3]{3}+10\sqrt[3]{3})x$

$\displaystyle \implies\color{blue}\boxed{(-3+8\sqrt[3]{3})x}$

Does this makes sense?

--Chris