2) \( -6 \sqrt[3]{5000}+\sqrt{20}+8 \sqrt[3]{40}-3 \sqrt{32} \)

Calculate or simplify the expression \( -6\sqrt[3]{5000}+\sqrt{20}+8\sqrt[3]{40}-3\sqrt{32} \). Calculate the value by following steps: - step0: Calculate: \(-6\sqrt[3]{5000}+\sqrt{20}+8\sqrt[3]{40}-3\sqrt{32}\) - step1: Simplify the root: \(-6\times 10\sqrt[3]{5}+\sqrt{20}+8\sqrt[3]{40}-3\sqrt{32}\) - step2: Simplify the root: \(-6\times 10\sqrt[3]{5}+2\sqrt{5}+8\sqrt[3]{40}-3\sqrt{32}\) - step3: Simplify the root: \(-6\times 10\sqrt[3]{5}+2\sqrt{5}+8\times 2\sqrt[3]{5}-3\sqrt{32}\) - step4: Simplify the root: \(-6\times 10\sqrt[3]{5}+2\sqrt{5}+8\times 2\sqrt[3]{5}-3\times 4\sqrt{2}\) - step5: Multiply the terms: \(-60\sqrt[3]{5}+2\sqrt{5}+8\times 2\sqrt[3]{5}-3\times 4\sqrt{2}\) - step6: Multiply the terms: \(-60\sqrt[3]{5}+2\sqrt{5}+16\sqrt[3]{5}-3\times 4\sqrt{2}\) - step7: Multiply the terms: \(-60\sqrt[3]{5}+2\sqrt{5}+16\sqrt[3]{5}-12\sqrt{2}\) - step8: Add the numbers: \(-44\sqrt[3]{5}+2\sqrt{5}-12\sqrt{2}\) The simplified expression is \( -44\sqrt[3]{5}+2\sqrt{5}-12\sqrt{2} \).