√3+2√3-4/4+√3+2√3
You asked:
Evaluate the expression: \(\sqrt{3} + 2 \sqrt{3} - \frac{4}{4} + \sqrt{3} + 2 \sqrt{3}\)
MathBot Answer:
\[\sqrt{3} + 2 \sqrt{3} - \frac{4}{4} + \sqrt{3} + 2 \sqrt{3} = -1 + 6 \sqrt{3} \approx 9.39230484541326376116467804903523\]
\[\begin{aligned}\sqrt{3} + 2 \sqrt{3} - \frac{4}{4} + \sqrt{3} + 2 \sqrt{3}& = \sqrt{3} + 2 \cdot \sqrt{3} - 1 + \sqrt{3} + 2 \cdot \sqrt{3}\\& = 3 \cdot \sqrt{3} - 1 + \sqrt{3} + 2 \cdot \sqrt{3}\\& = \left(-1 + 3 \cdot \sqrt{3}\right) + \sqrt{3} + 2 \cdot \sqrt{3}\\& = \left(-1 + 4 \cdot \sqrt{3}\right) + 2 \cdot \sqrt{3}\\& = -1 + 6 \cdot \sqrt{3}\end{aligned}\]