3\sqrt{3}3 + 1 / 3\sqrt{3}3 - 1
asked by guest on Mar 23, 2025 at 1:56 am
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MathBot Answer:
3+13−1=−1+433≈1.30940107675850305803659512200783\sqrt{3} + \frac{1}{\sqrt{3}} - 1 = -1 + \frac{4 \sqrt{3}}{3} \approx 1.309401076758503058036595122007833+31−1=−1+343≈1.30940107675850305803659512200783
3+13−1=3+13⋅3−1=43⋅3−1=−1+43⋅3\begin{aligned}\sqrt{3} + \frac{1}{\sqrt{3}} - 1&=\sqrt{3} + \frac{1}{3} \cdot \sqrt{3} - 1\\&=\frac{4}{3} \cdot \sqrt{3} - 1\\&=-1 + \frac{4}{3} \cdot \sqrt{3}\end{aligned}3+31−1=3+31⋅3−1=34⋅3−1=−1+34⋅3
