√50-√18÷√2
asked by guest on Nov 24, 2024 at 2:58 am
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MathBot Answer:
50−182=−3+52≈4.07106781186547524400844362104849\sqrt{50} - \frac{\sqrt{18}}{\sqrt{2}} = -3 + 5 \sqrt{2} \approx 4.0710678118654752440084436210484950−218=−3+52≈4.07106781186547524400844362104849
50−182=50−18⋅12=5⋅2−18⋅12=5⋅2−3⋅2⋅12=5⋅2−3=−3+5⋅2\begin{aligned}\sqrt{50} - \frac{\sqrt{18}}{\sqrt{2}}&=\sqrt{50} - \sqrt{18} \cdot \frac{1}{\sqrt{2}}\\&=5 \cdot \sqrt{2} - \sqrt{18} \cdot \frac{1}{\sqrt{2}}\\&=5 \cdot \sqrt{2} - 3 \cdot \sqrt{2} \cdot \frac{1}{\sqrt{2}}\\&=5 \cdot \sqrt{2} - 3\\&=-3 + 5 \cdot \sqrt{2}\end{aligned}50−218=50−18⋅21=5⋅2−18⋅21=5⋅2−3⋅2⋅21=5⋅2−3=−3+5⋅2
