What 2 square numbers subtract to make 3544?

What two square numbers subtract to make 3544? In other words, when you subtract one square number from another square number, the answer is 3544. 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 = 3544

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

445² - 441² = 3544

445² is 198025 and 441² is 194481, therefore the answer to the question "What 2 square numbers subtract to make 3544?" is 198025 and 194481 as illustrated below:

198025 - 194481 = 3544

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 3544. Below we list alternate solutions if available.

786769 - 783225 = 3544

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