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An integer \(n\) is said to be square-free if the only perfect square that divides \(1^2\) is . How many positive odd integers greater than 1 and less than \(100\) are square-free?

 Jan 23, 2021

Best Answer 

 #1
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We take all the odd numbers, and take out all the multiples of odd squares.  This gives us an answer of 50 - 21 = 29.

 Jan 23, 2021
 #1
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+1
Best Answer

We take all the odd numbers, and take out all the multiples of odd squares.  This gives us an answer of 50 - 21 = 29.

Guest Jan 23, 2021

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