-2.596/(sqrt(200))

asked by guest
on Oct 18, 2024 at 3:15 pm



You asked:

Evaluate the expression: \(\frac{-2.596}{\sqrt{200}}\)

MathBot Answer:

\[\frac{-2.596}{\sqrt{200}} = - \frac{649 \sqrt{2}}{5000} \approx -0.18356492039602773733445919640242\]

\[\begin{aligned}\frac{-2.596}{\sqrt{200}}& = - \cdot \left(2 + \frac{596}{1000}\right) \cdot \frac{1}{\sqrt{200}}\\& = - \cdot \left(2 + \frac{149}{250}\right) \cdot \frac{1}{\sqrt{200}}\\& = - \cdot \frac{649}{250} \cdot \frac{1}{\sqrt{200}}\\& = - \cdot \frac{649}{250} \cdot \frac{1}{10 \cdot \sqrt{2}}\\& = - \frac{649}{5000} \cdot \sqrt{2}\end{aligned}\]

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