Question

What least number must be added to 7200 to make the sum a perfect square?

Answer 1

Given,

A number = 7200

To find,

The least number that must be added to 7200 to make the sum a perfect square.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

Square of the natural number 84 = (84)^2 = 7056

Square of the natural number 85 = (85)^2 = 7225

Now, as we can observe;

7056 < 7200 < 7225

=> the given number 7200 lies between the perfect square of the natural numbers 84 and 85

=> the given number 7200 needs to be added to another number to make the sum equal to 7225, which is its nearest perfect square

Now, the required number to be added to 7200 to make the sum equal to 7225, which is its nearest perfect square

= 7225 - 7200 = 25

Hence, 25 must be added to 7200 to make the sum equal to 7225, which is its nearest perfect square.