MathematicsThe least number which must be added to 1750 so as to get a perfect square is ____.

The least number which must be added to 1750 so as to get a perfect square is ____.


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    Solution:

    The least number which must be added to 1750 so as to get a perfect square is 14.
    Given a number 1750.
    Find square root of 1750 using long division.
    By long division we get 41 as its square root.
    To find out least number compare the above step with nearby perfect square number.
    Here, This shows that 412 < 1750.
    Next perfect square is 422 = 1764.
    Hence number to be added to 1750
    = 1764 – 1750
     = 14
    The required perfect square is 1750 + 14 = 1764 whose root is 42.
     
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