Add or subtract. Assume all variables represent nonnegative real numbers.

-$4 \sqrt[3]{8 x}+4 \sqrt[3]{27 x}$
A) $4 \sqrt[3]{35 x}$
B) $20 \sqrt[3]{x}$
C) $5 \sqrt[3]{\mathrm{x}}$
D) $20 \mathrm{x}$

Question

Add or subtract. Assume all variables represent nonnegative real numbers.

-$4 \sqrt[3]{8 x}+4 \sqrt[3]{27 x}$
A) $4 \sqrt[3]{35 x}$
B) $20 \sqrt[3]{x}$
C) $5 \sqrt[3]{\mathrm{x}}$
D) $20 \mathrm{x}$

Quizplus · Accepted Answer

The expression simplifies by recognizing that $\sqrt[3]{8x} = 2\sqrt[3]{x}$ and $\sqrt[3]{27x} = 3\sqrt[3]{x}$. Adding these together gives $4(2\sqrt[3]{x}) + 4(3\sqrt[3]{x}) = 8\sqrt[3]{x} + 12\sqrt[3]{x} = 20\sqrt[3]{x}$.

Add or Subtract 48x3+427x34 \sqrt[3]{8 x}+4 \sqrt[3]{27 x}438x​+4327x​ A) 435x34 \sqrt[3]{35 x}4335x​

Add or Subtract $4 \sqrt[3]{8 x}+4 \sqrt[3]{27 x}$ A) $4 \sqrt[3]{35 x}$