Simplify cube root of 3x^3+x

$\sqrt[3]{3 x^{3} + x}$

Step 1

Factor $x$ out of $3 x^{3}$ .

$\sqrt[3]{x (3 x^{2}) + x}$

Step 2

Raise $x$ to the power of $1$ .

$\sqrt[3]{x (3 x^{2}) + x^{1}}$

Step 3

Factor $x$ out of $x^{1}$ .

$\sqrt[3]{x (3 x^{2}) + x \cdot 1}$

Step 4

Factor $x$ out of $x (3 x^{2}) + x \cdot 1$ .

$\sqrt[3]{x (3 x^{2} + 1)}$

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