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31*31 = 961 or 31.62*31.62 = 999.8244

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Q: What number can you square to make an number larger than 900 but less than 1000?
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Which number is larger than 1000 and less than 1002?

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Thirty-one is the closest square to 1000.Actually unless the Q was "What's the square number closest but less than 1000? then you would be right if only half right as your awnswer should have been 961.But it's not that so...as the Q has been written the answer is 1024.312 = 961 (39 away from 1000)322= 1024 (24 away from 1000)


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It is given that the gardener has 1000 plants. The number of rows and the number of columns is the same. We have to find the number of more plants that should be there, so that when the gardener plants them, the number of rows and columns are same. That is, the number which should be added to 1000 to make it a perfect square has to be calculated. The square root of 1000 can be calculated by long division method as follows. 31 3 61 100 61 39 The remainder is 39. It represents that the square of 31 is less than 1000. The next number is 32 and 322 = 1024 Hence, number to be added to 1000 to make it a perfect square = 322 − 1000 = 1024 − 1000 = 24 Thus, the required number of plants is 24.


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