8 $\sqrt{2.808}$

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



You asked:

Evaluate the expression: \(8 \cdot \sqrt{2.808}\)

MathBot Answer:

\[8 \cdot \sqrt{2.808} = \frac{24 \sqrt{195}}{25} \approx 13.40567044201818352308856755944292\]

\[\begin{aligned}8 \cdot \sqrt{2.808}& = 8 \cdot \sqrt{2 + \frac{808}{1000}}\\& = 8 \cdot \sqrt{2 + \frac{101}{125}}\\& = 8 \cdot \sqrt{\frac{351}{125}}\\& = 8 \cdot \frac{3}{25} \cdot \sqrt{195}\\& = \frac{24}{25} \cdot \sqrt{195}\end{aligned}\]

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