= 25 * 37.5sqrt(3)

asked by guest
on Jan 14, 2025 at 7:33 am



You asked:

Evaluate the expression: \(25 \cdot 37.5 \sqrt{3}\)

MathBot Answer:

\[25 \cdot 37.5 \sqrt{3} = \frac{1875 \sqrt{3}}{2} \approx 1623.79763209582246268198094516175534\]

\[\begin{aligned}25 \cdot 37.5 \sqrt{3}& = 25 \cdot \left(37 + \frac{5}{10}\right) \cdot \sqrt{3}\\& = 25 \cdot \left(37 + \frac{1}{2}\right) \cdot \sqrt{3}\\& = 25 \cdot \frac{75}{2} \cdot \sqrt{3}\\& = \frac{1875}{2} \cdot \sqrt{3}\end{aligned}\]

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