Question

How many non square lie between 100square and 101square


After getting answers plz explain me

Answer 1

1st -
There are 2n non square nos b/w n and n+1. Therefore the ans would be 2 x 100 = 200 non square numbers b/w 100 square and 101 square

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2nd-

let the number be x then the next number will be (x+1).

Difference in their squares are (x+1)2 - x2= 2x+1

So number coming between them will be ( 2x-1) -1 = 2x

When x= 100 , Number between 1002 and 1012= 200

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