2√7 -√11 ÷ 3√11 + √7

asked by guest
on Jan 17, 2025 at 5:32 am



You asked:

Evaluate the expression: \(2 \sqrt{7} - \frac{\sqrt{11}}{3 \sqrt{11}} + \sqrt{7}\)

MathBot Answer:

\[2 \sqrt{7} - \frac{\sqrt{11}}{3 \sqrt{11}} + \sqrt{7} = - \frac{1}{3} + 3 \sqrt{7} \approx 7.60392059986043843817151392758445\]

\[\begin{aligned}2 \sqrt{7} - \frac{\sqrt{11}}{3 \sqrt{11}} + \sqrt{7}& = 2 \cdot \sqrt{7} - \sqrt{11} \cdot \frac{1}{3 \cdot \sqrt{11}} + \sqrt{7}\\& = 2 \cdot \sqrt{7} - \frac{1}{3} + \sqrt{7}\\& = \left(- \frac{1}{3} + 2 \cdot \sqrt{7}\right) + \sqrt{7}\\& = - \frac{1}{3} + 3 \cdot \sqrt{7}\end{aligned}\]

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