What 2 square numbers subtract to make 3561?

What two square numbers subtract to make 3561? In other words, when you subtract one square number from another square number, the answer is 3561. 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 = 3561

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

595² - 592² = 3561

595² is 354025 and 592² is 350464, therefore the answer to the question "What 2 square numbers subtract to make 3561?" is 354025 and 350464 as illustrated below:

354025 - 350464 = 3561

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 3561. Below we list alternate solutions if available.

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