What 2 square numbers subtract to make 1265?

What two square numbers subtract to make 1265? In other words, when you subtract one square number from another square number, the answer is 1265. 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 = 1265

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

39² - 16² = 1265

39² is 1521 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 1265?" is 1521 and 256 as illustrated below:

1521 - 256 = 1265

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 1265. Below we list alternate solutions if available.

3969 - 2704 = 1265
16641 - 15376 = 1265
400689 - 399424 = 1265

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