2. 外语
  3. How many integers between 1 and 1000 (inclusive) are a square number as well as a cube number?

How many integers between 1 and 1000 (inclusive) are a square number as well as a cube number?

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问题 How many integers between 1 and 1000 (inclusive) are a square number as well as a cube number?
选项 A、1
B、2
C、3
D、4
E、5
答案C
解析 题目求1到1000之间(包括1和1000)既是完全平方数又是完全立方数的个数，即求6次方数的个数。16=1，26=64，36=729，46=4196＞1000，因此1到1000之间只有16，26，36符合条件，共3个。故答案为C。
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