AMC 8 2026 Problem 9

AMC8 2026 年第 9 题

表达式与运算★★☆☆☆

What is the value of this expression?

以下表达式的值是多少？

正确答案 · Correct Answer

解析 · Solution

解法1

逐步化简：

\sqrt{81}=9

，

\sqrt{16}=4

。分子

= \sqrt{16×9} = \sqrt{144} = 12

，分母

= \sqrt{81×4} = \sqrt{324} = 18

。原式

\displaystyle = \frac{12}{18} = \frac{2}{3}

。

Solution 1

Simplify step by step:

\sqrt{81} = 9

and

\sqrt{16} = 4

. Then

\displaystyle \sqrt{16×9} \,/\, \sqrt{81×4} = \sqrt{144} \,/\, \sqrt{324} = \frac{12}{18} = \frac{2}{3}

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