5 $\sqrt{\(64)5/6}$

asked by guest
on Nov 16, 2024 at 1:30 am



You asked:

Evaluate the expression: \(5 \cdot \sqrt{\frac{64 \cdot 5}{6}}\)

MathBot Answer:

\[5 \cdot \sqrt{\frac{64 \cdot 5}{6}} = \frac{20 \sqrt{30}}{3} \approx 36.51483716701107423046465218672014\]

\[\begin{aligned}5 \cdot \sqrt{\frac{64 \cdot 5}{6}}& = 5 \cdot \sqrt{64 \cdot \frac{5}{6}}\\& = 5 \cdot \sqrt{\frac{160}{3}}\\& = 5 \cdot \frac{4}{3} \cdot \sqrt{30}\\& = \frac{20}{3} \cdot \sqrt{30}\end{aligned}\]

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