5³√512

asked by guest
on Nov 24, 2024 at 9:22 pm



You asked:

Evaluate the expression: \({5}^{3} \cdot \sqrt{512}\)

MathBot Answer:

\[{5}^{3} \cdot \sqrt{512} = 2000 \sqrt{2} \approx 2828.42712474619009760337744841939616\]

\[\begin{aligned}{5}^{3} \cdot \sqrt{512}& = 5^{3} \cdot \sqrt{512}\\& = 125 \cdot \sqrt{512}\\& = 125 \cdot 16 \cdot \sqrt{2}\\& = 2000 \cdot \sqrt{2}\end{aligned}\]

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