3 ∛54 + 5 ∛250 - 4 ∛16 =

asked by guest
on Nov 18, 2024 at 7:26 pm



You asked:

Evaluate the expression: \(3 \cdot \sqrt[3]{54} + 5 \cdot \sqrt[3]{250} - 4 \cdot \sqrt[3]{16}\)

MathBot Answer:

\[3 \cdot \sqrt[3]{54} + 5 \cdot \sqrt[3]{250} - 4 \cdot \sqrt[3]{16} = 26 \cdot \sqrt[3]{2} \approx 32.75794729726670228394747578923394\]

\[\begin{aligned}3 \cdot \sqrt[3]{54} + 5 \cdot \sqrt[3]{250} - 4 \cdot \sqrt[3]{16}& = 3 \cdot 3 \cdot \sqrt[3]{2} + 5 \cdot \sqrt[3]{250} - 4 \cdot \sqrt[3]{16}\\& = 9 \cdot \sqrt[3]{2} + 5 \cdot \sqrt[3]{250} - 4 \cdot \sqrt[3]{16}\\& = 9 \cdot \sqrt[3]{2} + 5 \cdot 5 \cdot \sqrt[3]{2} - 4 \cdot \sqrt[3]{16}\\& = 9 \cdot \sqrt[3]{2} + 25 \cdot \sqrt[3]{2} - 4 \cdot \sqrt[3]{16}\\& = 9 \cdot \sqrt[3]{2} + 25 \cdot \sqrt[3]{2} - 4 \cdot 2 \cdot \sqrt[3]{2}\\& = 9 \cdot \sqrt[3]{2} + 25 \cdot \sqrt[3]{2} - 8 \cdot \sqrt[3]{2}\\& = 34 \cdot \sqrt[3]{2} - 8 \cdot \sqrt[3]{2}\\& = 26 \cdot \sqrt[3]{2}\end{aligned}\]

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