√16×√8×√5×√3

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



You asked:

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

MathBot Answer:

\[\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3} = 8 \sqrt{30} \approx 43.81780460041328907655758262406417\]

\[\begin{aligned}\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3}& = 4 \cdot \sqrt{8} \cdot \sqrt{5} \cdot \sqrt{3}\\& = 4 \cdot 2 \cdot \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{3}\\& = 8 \cdot \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{3}\\& = 8 \cdot \sqrt{10} \cdot \sqrt{3}\\& = 8 \cdot \sqrt{30}\end{aligned}\]

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