(√12+√3)(√3+2)
You asked:
Evaluate the expression: \(\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)\)
MathBot Answer:
\[\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right) = 3 \sqrt{3} \left(\sqrt{3} + 2\right) \approx 19.39230484541326376116467804903523\]
\[\begin{aligned}\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)& = \left(2 \cdot \sqrt{3} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)\\& = 3 \cdot \sqrt{3} \cdot \left(\sqrt{3} + 2\right)\\& = 3 \cdot \sqrt{3} \cdot \left(2 + \sqrt{3}\right)\end{aligned}\]