0.10*0.90 divided by 50 root 3

asked by guest
on Nov 26, 2024 at 5:18 am



You asked:

Evaluate the expression: 0.10⋅0.905032\frac{0.10 \cdot 0.90}{50 \sqrt[2]{3}}

MathBot Answer:

0.10⋅0.905032=335000≈0.0010392304845413263761164678049\frac{0.10 \cdot 0.90}{50 \sqrt[2]{3}} = \frac{3 \sqrt{3}}{5000} \approx 0.0010392304845413263761164678049

0.10⋅0.905032=110⋅910⋅150⋅3=110⋅9⋅11500⋅3=910⋅11500⋅3=35000⋅3\begin{aligned}\frac{0.10 \cdot 0.90}{50 \sqrt[2]{3}}&=\frac{1}{10} \cdot \frac{9}{10} \cdot \frac{1}{50 \cdot \sqrt{3}}\\&=\frac{1}{10} \cdot 9 \cdot \frac{1}{1500} \cdot \sqrt{3}\\&=\frac{9}{10} \cdot \frac{1}{1500} \cdot \sqrt{3}\\&=\frac{3}{5000} \cdot \sqrt{3}\end{aligned}

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