Question

Find the least number to be added to 5439×5447 to get a perfectly squared number.

Answer 1

Given,

The term of multiplication is = 5439×5447

To find,

The least term that had to be added with the given term of multiplication, in order to create a perfect square.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

A perfect square is produced when a number is multiplied with itself.

Example : 2 is a number and (2×2) = 4 is a perfect square.

Now, in the given term of multiplication, the 5447 is added for total 5439 times. It has to be added for total 5447 times to produce a perfect square.

Remaining adding times of 5447, for making a square = (5447-5439) = 8

Remaining amount from being a square = (5447×8) = 43576

Verification = √(5439×5447)+43576 = √(29626233+43576) = √29669809 = 5447 = Perfect square

Hence, we have to add 43576 with the main term of multiplication