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: \(\frac{0.10 \cdot 0.90}{50 \cdot \sqrt[2]{3}}\)

MathBot Answer:

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


\[\begin{aligned}\frac{0.10 \cdot 0.90}{50 \cdot \sqrt[2]{3}}& = \frac{1}{10} \cdot \frac{9}{10} \cdot \frac{1}{50 \cdot \sqrt{3}}\\& = \frac{1}{10} \cdot 9 \cdot \frac{1}{1500} \cdot \sqrt{3}\\& = \frac{9}{10} \cdot \frac{1}{1500} \cdot \sqrt{3}\\& = \frac{3}{5000} \cdot \sqrt{3}\end{aligned}\]