can someone help me what is x divided by cuberoot3

Question

amistre64 · Answer

its an expression, or a rule .....

anonymous · Answer

we have to rationalize the denominator. for some reason the answer i get is wrong idk why

amistre64 · Answer

youre most likely trying to use a square root principle instead of a cube root

amistre64 · Answer

$$\Large\sqrt[3]{3}*\sqrt[3]{3*3}=\sqrt[3]{3*3*3}=\sqrt[3]{3^3}=3$$

anonymous · Answer

Can u explain where u go the extra 3's from

amistre64 · Answer

to "rationalize" means we want to get rid of a radical ... 

teh radical you have under there is:  cbrt(3)

a cbrt and a ^3 cancel each other$$\Large \sqrt[3]{a^3}=a$$

as such, you only have a 3^1 in there and need 2 more 3s to undo the radical .... hence, 3^2

amistre64 · Answer

im not sure how familiar you are with changing radicals to exponents, which would be one way to approach this:

$$\frac{x}{3^{1/3}}*\frac{3^{2/3}}{3^{2/3}}=\frac{x~3^{2/3}}{3}$$

anonymous · Answer

oh ok got it thanx!

amistre64 · Answer

youre welcome :)