Simplify. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { \frac { 7 } { 3 } }$
A) $\frac { 63 } { 3 }$
B) $\frac { \sqrt [ 3 ] { 63 } } { 3 }$
C) $\frac { \sqrt [ 3 ] { 189 } } { 3 }$
D) $\frac { \sqrt [ 3 ] { 21 } } { 3 }$

Question

Quizplus · Accepted Answer

The cube root of a fraction can be simplified by taking the cube root of the numerator and the denominator separately. Thus, $\sqrt[3]{\frac{7}{3}} = \frac{\sqrt[3]{7}}{\sqrt[3]{3}}$, which simplifies further to $\frac{\sqrt[3]{7 \cdot 9}}{3}$ because $3 = \sqrt[3]{3^3}$ and $9 = 3^2$, making the expression $\frac{\sqrt[3]{63}}{3}$.

Simplify Assume All Variables Represent Positive Real Numbers 733\sqrt [ 3 ] { \frac { 7 } { 3 } }337​​

Simplify Assume All Variables Represent Positive Real Numbers $\sqrt [ 3 ] { \frac { 7 } { 3 } }$