Question

find the least number that should be added to 9180 to make it a perfect square . Also find the square root of the number so obtained​

Answer 1

$\bf\pink{QuestioN:-}$

Find the least number that should be added to 9180 to make it a perfect square . Also find the square root of the number so obtained​.

$\bf\orange{AnsweR:-}$

The given number is 9180.

So at first we can find the square root of this number.

$\bf{:\implies\sqrt{9180}=95.81}$

It is not a perfect square number.

So definitely the nearest square number will be the square of the next number of 95.81.

That is, of 96.

$\bf{:\implies96^2=9216}$

$\bf{:\implies9216\:\sf{will\:be\:the\:perfect\:square.}}$

So the number must be added to 9180 to make it perfect square is,

$\bf{:\implies9216-9180=36}$

So 36 must be added to 9180 to make it a perfect square.

And the square root of this number is already known.

$\bf{:\implies\sqrt{9216} =96}$

Answers :

i) 36 must be added to make the 9180 a perfect square.

ii) The number so obtained is 9216 .

   The square root of 9216 is 96.

All Done !!☺