(√12+√3)(√3+2)

asked by guest
on Oct 25, 2024 at 5:18 am



You asked:

Evaluate the expression: \(\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)\)

MathBot Answer:

\[\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right) = 3 \sqrt{3} \left(\sqrt{3} + 2\right) \approx 19.39230484541326376116467804903523\]

\[\begin{aligned}\left(\sqrt{12} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)& = \left(2 \cdot \sqrt{3} + \sqrt{3}\right) \cdot \left(\sqrt{3} + 2\right)\\& = 3 \cdot \sqrt{3} \cdot \left(\sqrt{3} + 2\right)\\& = 3 \cdot \sqrt{3} \cdot \left(2 + \sqrt{3}\right)\end{aligned}\]

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