16. 1035 chairs are placed in an auditorium in such a way that the number
of rows is equal to the number of columns. Find the least number of chairs
needed more for this arrangement. Also, find the square root of the new
number.
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Step-by-step explanation:
1035+x chairs
given rows = columns
Let rows be y
⇒y²=1035+x
It should be perfect square we should find least value ofx
We know it should be greater than 30²=900.
Now 31² =961
32² =1024
33²=1089
∴ It should be 1089−1035=54
Least value of x=54.
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