Find the least number which must be added to 3320 to make it a perfect

1.	Find the least number which must be added to 3320 to make it a perfect square. Also find the square root of the perfect square so obtained.
Answer» Using long division to find square root of \(3320\). \(\therefore \sqrt{3320}=57.619\) i.e. it lies in between \(57\) and \(58\). Now, \(57^2=3249,\; 58^2=3364\). \(\Rightarrow\) The LEAST NUMBER which MUST be ADDED to \(3320\) to MAKE it a perfect square is \(3364-3320=44\)

Find the least number which must be added to 3320 to make it a perfect square. Also find the square root of the perfect square so obtained.

Answer»

Using long division to find square root of \(3320\).

\(\therefore \sqrt{3320}=57.619\) i.e. it lies in between \(57\) and \(58\).

Now, \(57^2=3249,\; 58^2=3364\).

\(\Rightarrow\) The LEAST NUMBER which MUST be ADDED to \(3320\) to MAKE it a perfect square is \(3364-3320=44\)