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\sqrt[3]{2\times 3375+3\times 24^{3}}
Calculate 15 to the power of 3 and get 3375.
\sqrt[3]{6750+3\times 24^{3}}
Multiply 2 and 3375 to get 6750.
\sqrt[3]{6750+3\times 13824}
Calculate 24 to the power of 3 and get 13824.
\sqrt[3]{6750+41472}
Multiply 3 and 13824 to get 41472.
\sqrt[3]{48222}
Add 6750 and 41472 to get 48222.