What is the value of this expression ?
81161681\frac{\sqrt{81\sqrt{16}}}{\sqrt{16\sqrt{81}}}
A. 49\frac{4}{9}
B. 23\frac{2}{3}
C. 1
D. 32\frac{3}{2}
E. 94\frac{9}{4}

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Worked solution

1. 2026 AMC 8 官方解析

81=9\sqrt{81} = 9 ,
9=3\sqrt{9} = 3 ,
16=4\sqrt{16} = 4 ,
原式=9×24×3=32= \frac{9 \times 2}{4 \times 3} = \frac{3}{2} .

Answer

D. 32\frac{3}{2}

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