2 $\sqrt{12}$ + $\sqrt{75}$ + $\sqrt{50}$

asked by guest
on Oct 22, 2024 at 3:37 am



You asked:

Evaluate the expression: \(2 \cdot \sqrt{12} + \sqrt{75} + \sqrt{50}\)

MathBot Answer:

\[2 \cdot \sqrt{12} + \sqrt{75} + \sqrt{50} = 5 \sqrt{2} + 9 \sqrt{3} \approx 22.65952507998537088575546069460134\]

\[\begin{aligned}2 \cdot \sqrt{12} + \sqrt{75} + \sqrt{50}& = 2 \cdot 2 \cdot \sqrt{3} + \sqrt{75} + \sqrt{50}\\& = 4 \cdot \sqrt{3} + \sqrt{75} + \sqrt{50}\\& = 4 \cdot \sqrt{3} + 5 \cdot \sqrt{3} + \sqrt{50}\\& = 4 \cdot \sqrt{3} + 5 \cdot \sqrt{3} + 5 \cdot \sqrt{2}\\& = 9 \cdot \sqrt{3} + 5 \cdot \sqrt{2}\\& = 5 \cdot \sqrt{2} + 9 \cdot \sqrt{3}\end{aligned}\]

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