2 root 3 + 4 root 3 divide by 3

asked by guest
on Nov 18, 2024 at 11:13 am



You asked:

Evaluate the expression: \(2 \cdot \sqrt[2]{3} + \frac{4 \cdot \sqrt[2]{3}}{3}\)

MathBot Answer:

\[2 \cdot \sqrt[2]{3} + \frac{4 \cdot \sqrt[2]{3}}{3} = \frac{10 \sqrt{3}}{3} \approx 5.77350269189625764509148780501957\]


\[\begin{aligned}2 \cdot \sqrt[2]{3} + \frac{4 \cdot \sqrt[2]{3}}{3}& = 2 \cdot \sqrt{3} + 4 \cdot \sqrt{3} \cdot \frac{1}{3}\\& = 2 \cdot \sqrt{3} + 4 \cdot \frac{1}{3} \cdot \sqrt{3}\\& = 2 \cdot \sqrt{3} + \frac{4}{3} \cdot \sqrt{3}\\& = \frac{10}{3} \cdot \sqrt{3}\end{aligned}\]