What 2 square numbers subtract to make 3649?

What two square numbers subtract to make 3649? In other words, when you subtract one square number from another square number, the answer is 3649. 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 = 3649

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

65² - 24² = 3649

65² is 4225 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 3649?" is 4225 and 576 as illustrated below:

4225 - 576 = 3649

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 3649. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3650?
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