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112學測數學A考科-01


<單選題>若在計算器中鍵入某正整數 \( N \),接著連按「\(\sqrt{}\)」鍵(取正平方根)3次,視窗顯示得到答案為2,則 \( N \) 等於下列哪一個選項?
(1) \( 2^3 \)
(2) \( 2^4 \)
(3) \( 2^6 \)
(4) \( 2^8 \)
(5) \( 2^{12} \)

答案

\( \sqrt{\sqrt{\sqrt{N}}} = N^{\frac{1}{8}} = 2 \Rightarrow N = 2^8 \)
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