What 2 square numbers subtract to make 3549?

What two square numbers subtract to make 3549? In other words, when you subtract one square number from another square number, the answer is 3549. 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 = 3549

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

65² - 26² = 3549

65² is 4225 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 3549?" is 4225 and 676 as illustrated below:

4225 - 676 = 3549

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 3549. Below we list alternate solutions if available.

9025 - 5476 = 3549
20449 - 16900 = 3549
66049 - 62500 = 3549

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