5/3√2-2√3
You asked:
Evaluate the expression: \(\frac{5}{3 \sqrt{2}} - 2 \sqrt{3}\)
MathBot Answer:
\[\frac{5}{3 \sqrt{2}} - 2 \sqrt{3} = - 2 \sqrt{3} + \frac{5 \sqrt{2}}{6} \approx -2.28559031316017537972015207950366\]
\[\begin{aligned}\frac{5}{3 \sqrt{2}} - 2 \sqrt{3}& = 5 \cdot \frac{1}{3 \cdot \sqrt{2}} - 2 \cdot \sqrt{3}\\& = \frac{5}{6} \cdot \sqrt{2} - 2 \cdot \sqrt{3}\\& = -2 \cdot \sqrt{3} + \frac{5}{6} \cdot \sqrt{2}\end{aligned}\]