5+√3÷5-√3
asked by guest on Mar 23, 2025 at 2:31 am
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MathBot Answer:
5+35−3=5−435≈3.61435935394489816517804292679535 + \frac{\sqrt{3}}{5} - \sqrt{3} = 5 - \frac{4 \sqrt{3}}{5} \approx 3.61435935394489816517804292679535+53−3=5−543≈3.6143593539448981651780429267953
5+35−3=5+3⋅15−3=5+15⋅3−3=(5+15⋅3)−3=5−45⋅3\begin{aligned}5 + \frac{\sqrt{3}}{5} - \sqrt{3}&=5 + \sqrt{3} \cdot \frac{1}{5} - \sqrt{3}\\&=5 + \frac{1}{5} \cdot \sqrt{3} - \sqrt{3}\\&=\left(5 + \frac{1}{5} \cdot \sqrt{3}\right) - \sqrt{3}\\&=5 - \frac{4}{5} \cdot \sqrt{3}\end{aligned}5+53−3=5+3⋅51−3=5+51⋅3−3=(5+51⋅3)−3=5−54⋅3