√16×√8×√8×√5

asked by guest
on Jan 08, 2025 at 9:38 pm



You asked:

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

MathBot Answer:

\[\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{8} \cdot \sqrt{5} = 32 \sqrt{5} \approx 71.55417527999327028509355739940084\]

\[\begin{aligned}\sqrt{16} \cdot \sqrt{8} \cdot \sqrt{8} \cdot \sqrt{5}&=4 \cdot \sqrt{8} \cdot \sqrt{8} \cdot \sqrt{5}\\&=4 \cdot 2 \cdot \sqrt{2} \cdot \sqrt{8} \cdot \sqrt{5}\\&=4 \cdot 2 \cdot \sqrt{2} \cdot 2 \cdot \sqrt{2} \cdot \sqrt{5}\\&=8 \cdot \sqrt{2} \cdot 2 \cdot \sqrt{2} \cdot \sqrt{5}\\&=32 \cdot \sqrt{5}\end{aligned}\]

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