Find the smallest number which must be added to 2300 so that it becomes a perfect square.

Question

Philoid · Accepted Answer

At first we have to find,

The square root of 2300

So, the square root of 2300 is:

The remainder is 91

Hence,

(47)² < 2300

Now, the next perfect square number is (48)² = 2304 > 2300

Hence,

The smallest number that must be added to 2300 to get a perfect square is:

2304 – 2300

= 4