Rationalize the denominator. $\frac { - 18 } { \sqrt [ 3 ] { 10 } }$
A) $\frac { 5 \sqrt [ 3 ] { 100 } } { - 9 }$
B) $\frac { - 9 \sqrt [ 3 ] { 100 } } { 5 }$
C) $\frac { - 9 \sqrt [ 3 ] { 10 } } { 5 }$
D) Already rationalized

Question

Quizplus · Accepted Answer

To rationalize the denominator of $\frac{-18}{\sqrt[3]{10}}$, we multiply both the numerator and the denominator by $\sqrt[3]{10^2}$ to get rid of the cube root in the denominator. This results in $\frac{-18\sqrt[3]{100}}{10}$, which simplifies to $\frac{-9\sqrt[3]{100}}{5}$.

Rationalize the Denominator −18103\frac { - 18 } { \sqrt [ 3 ] { 10 } }310​−18​

Rationalize the Denominator $\frac { - 18 } { \sqrt [ 3 ] { 10 } }$