Evaluate:
32×63×24\sqrt{3^2 \times 6^3 \times 24}32×63×24
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32×63×24=3×3×6×6×6×24=(3×3)×(2×2)×(2×2)×(3×3)×(2×2)×(3×3)=3×2×2×3×2×3=216\sqrt{3^2 \times 6^3 \times 24}\\[1em] = \sqrt{3\times 3 \times 6\times 6\times 6 \times 24}\\[1em] = \sqrt{(3\times 3) \times (2 \times 2)\times (2\times 2) \times (3 \times 3) \times (2 \times 2) \times (3\times 3)}\\[1em] = 3 \times 2\times 2\times 3 \times 2 \times 3\\[1em] = 21632×63×24=3×3×6×6×6×24=(3×3)×(2×2)×(2×2)×(3×3)×(2×2)×(3×3)=3×2×2×3×2×3=216
32×63×24=216\sqrt{3^2 \times 6^3 \times 24} = 21632×63×24=216
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