question_answer 29)

                A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.             

Answer:

                Let the number of rows be \[x\].     Then the number of columns is \[x\].     So, the number of plants is \[x\times x={{x}^{2}}\] which is a perfect square.                  Let us find out the square root of 1000 by division method.                          

	31
3	\[\overline{10}\]        \[\overline{00}\] ?9
61	100             ?61
	39

  This shows that \[{{31}^{2}}<1000\]. Next perfect square number is \[{{32}^{2}}=1024\]. Hence, the minimum number of plants he needs more for this \[=1024-1000=24\].