What 2 square numbers subtract to make 1365?

What two square numbers subtract to make 1365? In other words, when you subtract one square number from another square number, the answer is 1365. 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 = 1365

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

37² - 2² = 1365

37² is 1369 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 1365?" is 1369 and 4 as illustrated below:

1369 - 4 = 1365

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 1365. Below we list alternate solutions if available.

1849 - 484 = 1365
2809 - 1444 = 1365
3481 - 2116 = 1365

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