Question

enter the correct answer in the box.

if \\(x \
eq 0\\), what is the sum of \\(4\sqrt3{x^{10}} + 5x^3\sqrt3{8x}\\) in simplest form?

Explanation:

Simplify the first radical term

$$ 4\sqrt[3]{x^{10}} = 4\sqrt[3]{x^9 \cdot x} = 4x^3\sqrt[3]{x} $$

Simplify the second radical term

$$ 5x^3\sqrt[3]{8x} = 5x^3 \cdot 2\sqrt[3]{x} = 10x^3\sqrt[3]{x} $$

Combine the simplified terms

$$ 4x^3\sqrt[3]{x} + 10x^3\sqrt[3]{x} = 14x^3\sqrt[3]{x} $$

Answer:

If \(x
eq 0\), what is the sum of \(4\sqrt[3]{x^{10}} + 5x^3\sqrt[3]{8x}\) in simplest form? <blank>\(14x^3\sqrt[3]{x}\)</blank>