Evaluate
\sqrt[3]{201302}+8\sqrt{1221}\approx 338.149466102
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\sqrt{78144}-\sqrt[3]{458662-2558\times 258}
Multiply 148 and 528 to get 78144.
8\sqrt{1221}-\sqrt[3]{458662-2558\times 258}
Factor 78144=8^{2}\times 1221. Rewrite the square root of the product \sqrt{8^{2}\times 1221} as the product of square roots \sqrt{8^{2}}\sqrt{1221}. Take the square root of 8^{2}.
8\sqrt{1221}-\sqrt[3]{458662-659964}
Multiply 2558 and 258 to get 659964.
8\sqrt{1221}-\sqrt[3]{-201302}
Subtract 659964 from 458662 to get -201302.
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