√16×√8×√5×√3
asked by guest on Jan 08, 2025 at 9:57 pm
You asked:
MathBot Answer:
16⋅8⋅5⋅3=830≈43.81780460041328907655758262406417\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3} = 8 \sqrt{30} \approx 43.8178046004132890765575826240641716⋅8⋅5⋅3=830≈43.81780460041328907655758262406417
16⋅8⋅5⋅3=4⋅8⋅5⋅3=4⋅2⋅2⋅5⋅3=8⋅2⋅5⋅3=8⋅10⋅3=8⋅30\begin{aligned}\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3}&=4 \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3}\\&=4 \cdot 2 \cdot \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{3}\\&=8 \cdot \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{3}\\&=8 \cdot \sqrt{10} \cdot \sqrt{3}\\&=8 \cdot \sqrt{30}\end{aligned}16⋅8⋅5⋅3=4⋅8⋅5⋅3=4⋅2⋅2⋅5⋅3=8⋅2⋅5⋅3=8⋅10⋅3=8⋅30