Question

How many non square numbers lie between 50 square and 52 square

Answer 1

Answer:

100 non square numbers are there in between 50 and 52 squares

Answer 2

$\mathtt{\huge{\bf{\underline{\red{Answer :-}}}}}$

We know that no integer is possible in between 50 & 51 , so all the number between them are non- squared.

Its roots of the number lies only between range of 50 to 51 .

Finding, non square numbers lie between 50² and 51²

★ (51)² - (50)² - 1

➝ (51 + 50) (51 - 50) - 1

➝ 101 - 1

➝ 100

n² & (n + 1)² = 2n , Where n is any integer

For, 51 & 52

51² + ( 51 + 1 )² = 2 × 51 = 102

So, 100 number between 50 & 51 & 102 numbers between 51 & 52.

Therefore ,

The non square numbers

The non square numberslie between 50 square. = 100 + 102

and 52 square

= 202 .

So, 202 non square.numbers lie between 50² & 52².

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