What 2 square numbers subtract to make 2465?

What two square numbers subtract to make 2465? In other words, when you subtract one square number from another square number, the answer is 2465. 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 = 2465

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

57² - 28² = 2465

57² is 3249 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 2465?" is 3249 and 784 as illustrated below:

3249 - 784 = 2465

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 2465. Below we list alternate solutions if available.

6561 - 4096 = 2465
62001 - 59536 = 2465

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What 2 square numbers subtract to make 2466?
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