Write a form of 1 that you can use to rationalize the denominator of the expression  $\frac{8}{\sqrt[3]{4}}$83√4​​ . Rationalizing factor:

To rationalize the denominator of the expression $\frac{8}{\sqrt[3]{4}}$, we need to multiply both the numerator and the denominator by a form of 1 that will eliminate the cube root in the denominator.

The cube root of 4 is 2^(2/3), so we need to multiply by 2^(1/3) to get a whole number in the denominator.

The rationalizing factor is therefore 2^(1/3)/2^(1/3), which is just a fancy form of 1.

So, we multiply the original expression by this factor:

$\frac{8}{\sqrt[3]{4}}$ * $\frac{2^{1/3}}{2^{1/3}}$ = $\frac{8*2^{1/3}}{2}$

This simplifies to $\frac{8*2^{1/3}}{2}$ = $4*2^{1/3}$

So, the rationalized form of the expression is $4*2^{1/3}$.