Question

How many non square numbers lie between 10002 and 10012.​

Answer 1

$\underline { \pink { Rule : }}$

$\blue { Number \: of \: non - square \: numbers } \\\blue { between \: n^{2} \:and \:(n+1)^{2} }\\\orange { = 2n }$

$Here , n = 1000 \: and \: n + 1 = 1001$

$\blue { Number \: of \: non - square \: numbers } \\\blue { \:between \: 1000^{2} \:and \:1001^{2} }\\ = 2\times 1000 \\\orange { = 2000 }$

Therefore.,

$\red { Non \:square\: numbers \:lie\: between}\\\red{ 1000^{2}\: and\: 1001^{2}} \green { = 2000}$

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Answer 2

Answer:

Number of non−square numbers

between1000

2

and1001

2

=2×1000

=2000

Therefore.,

Non square numbers lie between

1000

2

and1001

2

=2000

Hope it will be helpful ✌️