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    The number of non-square numbers between 872^22​ and 882^22​ is:
    Question

    The number of non-square numbers between 872^2​ and 882^2​ is:

    A.

    174

    B.

    164

    C.

    184

    D.

    154

    Correct option is A

    Given:

    We need to find the number of non-square numbers between 872^2​ and 882^2​​

    Concept Used:

    The number of natural numbers between n2^2​ and (n+1)2^2​ is

    (n+1)2n21^2 - n^2 - 1​ = 2n

    Solution:

    Non-square numbers between  872^2​ and 882=2×87^2 = 2 \times 87​ = 174

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