What 2 square numbers subtract to make 4395?

What two square numbers subtract to make 4395? In other words, when you subtract one square number from another square number, the answer is 4395. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 4395

We solved the equation above and found this to be true:

154² - 139² = 4395

154² is 23716 and 139² is 19321, therefore the answer to the question "What 2 square numbers subtract to make 4395?" is 23716 and 19321 as illustrated below:

23716 - 19321 = 4395

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 4395. Below we list alternate solutions if available.

195364 - 190969 = 4395
538756 - 534361 = 4395

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