Question

Find the least number that should be subtracted from 363660 so that we get a perfect square . I know the answer but give the whole process

Answer 1

Answer: 51

Step-by-step explanation:

Just try to find the square root of 363660.

After getting 603 , you also have an additional 51.

And as 603 is perfect square root of 363609, so subtract 51.

Answer 2

Given: number$=363660$

To find: the least number that should be subtracted to get a perfect square.

Solution:

Find the square root of the given number by long divison method.

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Observe that the remainder obtained is 51.

Understand that, if the remainder 51  is subtracted from the given number then the result that is obtained will be a perfect square.

$363660-51=363609$

Check whether $363609$ is a perfect square or not.

Find the square root of $363609$.

$\[\sqrt {363609} = 603\]$

Hence, the least number that should be subtracted to get a perfect square is 51.