5 $\sqrt{\(64)5/6}$
asked by guest on Nov 16, 2024 at 1:30 am
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MathBot Answer:
564⋅56=20303≈36.514837167011074230464652186720145 \sqrt{\frac{64 \cdot 5}{6}} = \frac{20 \sqrt{30}}{3} \approx 36.514837167011074230464652186720145664⋅5=32030≈36.51483716701107423046465218672014
564⋅56=5⋅64⋅56=5⋅1603=5⋅43⋅30=203⋅30\begin{aligned}5 \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}5664⋅5=5⋅64⋅65=5⋅3160=5⋅34⋅30=320⋅30
