Question

please solve this question in maths?

Answer 1

Smallest 4 digit number=
$1000$
Its square root(approx but without decimals)=

$\sqrt{1000}$

$31$
Here,
$= 31 {}^{2} < 1000$
So now we will take the next number that is=
$32$
So, now we have:

$32 {}^{2} < 1000 < 3 1{}^{2}$

$32 {}^{2} = 1024$
To find the perfect square,we have to make 1000 a perfect square itself.

For that:

$1024 - 1000$
$24$
Hence 24 must be added to 1000 to make it a perfect square.

So the smallest 4 digit perfect square=

$1024$