Simplify $\frac { 10 } { \sqrt [ 3 ] { 100 } }$ by rationalizing the denominator.
A) $\frac { \sqrt [ 3 ] { 100 } } { 10 }$
B) $\frac { \sqrt [ 3 ] { 10 } } { 10 }$
C) $\sqrt [ 3 ] { 10 }$
D) 3 $10 \sqrt [ 3 ] { 10 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply both the numerator and the denominator by $\sqrt[3]{10}$ because $\sqrt[3]{100} \times \sqrt[3]{10} = \sqrt[3]{1000} = 10$. This simplifies the expression to $\frac{10 \times \sqrt[3]{10}}{10} = \sqrt[3]{10}$.

Simplify 101003\frac { 10 } { \sqrt [ 3 ] { 100 } }3100​10​

Simplify $\frac { 10 } { \sqrt [ 3 ] { 100 } }$