34√3+3 times 15√2+3
asked by guest on Nov 25, 2024 at 6:38 pm
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MathBot Answer:
343+3⋅152+3=3+343+452≈125.5293377641311051760091682006360734 \sqrt{3} + 3 \cdot 15 \sqrt{2} + 3 = 3 + 34 \sqrt{3} + 45 \sqrt{2} \approx 125.52933776413110517600916820063607343+3⋅152+3=3+343+452≈125.52933776413110517600916820063607
343+3⋅152+3=34⋅3+3⋅15⋅2+3=34⋅3+45⋅2+3=(34⋅3+45⋅2)+3=3+34⋅3+45⋅2\begin{aligned}34 \sqrt{3} + 3 \cdot 15 \sqrt{2} + 3&=34 \cdot \sqrt{3} + 3 \cdot 15 \cdot \sqrt{2} + 3\\&=34 \cdot \sqrt{3} + 45 \cdot \sqrt{2} + 3\\&=\left(34 \cdot \sqrt{3} + 45 \cdot \sqrt{2}\right) + 3\\&=3 + 34 \cdot \sqrt{3} + 45 \cdot \sqrt{2}\end{aligned}343+3⋅152+3=34⋅3+3⋅15⋅2+3=34⋅3+45⋅2+3=(34⋅3+45⋅2)+3=3+34⋅3+45⋅2
