4 + 2 √ 3 - 2 -1
You asked:
Evaluate the expression: \(4 + 2 \sqrt{3} - 2 - 1\)
MathBot Answer:
\[4 + 2 \sqrt{3} - 2 - 1 = 1 + 2 \sqrt{3} \approx 4.46410161513775458705489268301174\]
\[\begin{aligned}4 + 2 \sqrt{3} - 2 - 1& = 4 + 2 \cdot \sqrt{3} - 2 - 1\\& = \left(4 + 2 \cdot \sqrt{3}\right) - 2 - 1\\& = \left(2 + 2 \cdot \sqrt{3}\right) - 1\\& = 1 + 2 \cdot \sqrt{3}\end{aligned}\]