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Substitution

how many non ...

Question

how many non square numbers lie between 25 square and 26 square

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Solution

Dear student,
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 (excluding 25² )

When x= 25 , Number between 25² and 26²= 2*25 =50
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