1. The problem asks to find which expression is a like radical to $$\sqrt[3]{6x^2}$$. 2. Like radicals have the same radicand (the expression inside the radical). 3. The original radicand is $$6x^2$$. 4. Check each option's radicand: - Option 1: $$x \sqrt[3]{6x}$$ has radicand $$6x$$, which is not $$6x^2$$. - Option 2: $$6 \sqrt[3]{x^2}$$ has radicand $$x^2$$, which is not $$6x^2$$. - Option 3: $$4 \sqrt[3]{6x^2}$$ has radicand $$6x^2$$, which matches the original. - Option 4: $$x \sqrt[3]{6}$$ has radicand $$6$$, which is not $$6x^2$$. 5. Therefore, the like radical is option 3: $$4 \sqrt[3]{6x^2}$$. 6. Like radicals can be added or subtracted by combining their coefficients. Final answer: $$4 \sqrt[3]{6x^2}$$