√16×√8×√5×√3

asked by guest
on Jan 08, 2025 at 9:57 pm



You asked:

Evaluate the expression: 16⋅8⋅5⋅3\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3}

MathBot Answer:

16⋅8⋅5⋅3=830≈43.81780460041328907655758262406417\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3} = 8 \sqrt{30} \approx 43.81780460041328907655758262406417

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}

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