5³√512

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



You asked:

Evaluate the expression: 53512{5}^{3} \sqrt{512}

MathBot Answer:

53512=20002≈2828.42712474619009760337744841939616{5}^{3} \sqrt{512} = 2000 \sqrt{2} \approx 2828.42712474619009760337744841939616

53512=53⋅512=125⋅512=125⋅16⋅2=2000⋅2\begin{aligned}{5}^{3} \sqrt{512}&=5^{3} \cdot \sqrt{512}\\&=125 \cdot \sqrt{512}\\&=125 \cdot 16 \cdot \sqrt{2}\\&=2000 \cdot \sqrt{2}\end{aligned}

+ Submit Question