4 + 2 √ 3 - 2 -4
You asked:
Evaluate the expression: \(4 + 2 \sqrt{3} - 2 - 4\)
MathBot Answer:
\[4 + 2 \sqrt{3} - 2 - 4 = -2 + 2 \sqrt{3} \approx 1.46410161513775458705489268301174\]
\[\begin{aligned}4 + 2 \sqrt{3} - 2 - 4& = 4 + 2 \cdot \sqrt{3} - 2 - 4\\& = \left(4 + 2 \cdot \sqrt{3}\right) - 2 - 4\\& = \left(2 + 2 \cdot \sqrt{3}\right) - 4\\& = -2 + 2 \cdot \sqrt{3}\end{aligned}\]