How Should $\left(\left[v^{3}\right]_{\text {avg }}\right)^{1 / 3}$ Compare To $\left(\left[v^{2}\right]_{\text {avg }}\right)^{1 / 2}$

Multiple Choice

How should $\left(\left[v^{3}\right]_{\text {avg }}\right) ^{1 / 3}$ compare to $\left(\left[v^{2}\right]_{\text {avg }}\right) ^{1 / 2}$ for an ideal gas?

A) $\left(\left[v^{3}\right]_{\text {avg }}\right) ^{1 / 3}>\left(\left[v^{2}\right]_{\text {avg }}\right) ^{1 / 2}$
B) $\left(\left[v^{3}\right]_{\text {avg }}\right) ^{1 / 3}=\left(\left[v^{2}\right]_{\text {avg }}\right) ^{1 / 2}$
C) $\left(\left[v^{3}\right]_{\text {avg }}\right) ^{1 / 3}<\left(\left[v^{2}\right]_{\text {avg }}\right) ^{1 / 2}$
D) One cannot tell without careful calculation.