8 2.808\sqrt{2.808}

asked by guest
on Nov 26, 2024 at 1:43 am



You asked:

Evaluate the expression: 82.8088 \sqrt{2.808}

MathBot Answer:

82.808=2419525≈13.405670442018183523088567559442928 \sqrt{2.808} = \frac{24 \sqrt{195}}{25} \approx 13.40567044201818352308856755944292

82.808=8⋅2+8081000=8⋅2+101125=8⋅351125=8⋅325⋅195=2425⋅195\begin{aligned}8 \sqrt{2.808}&=8 \cdot \sqrt{2 + \frac{808}{1000}}\\&=8 \cdot \sqrt{2 + \frac{101}{125}}\\&=8 \cdot \sqrt{\frac{351}{125}}\\&=8 \cdot \frac{3}{25} \cdot \sqrt{195}\\&=\frac{24}{25} \cdot \sqrt{195}\end{aligned}

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