What 2 square numbers subtract to make 3543?

What two square numbers subtract to make 3543? In other words, when you subtract one square number from another square number, the answer is 3543. 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 = 3543

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

592² - 589² = 3543

592² is 350464 and 589² is 346921, therefore the answer to the question "What 2 square numbers subtract to make 3543?" is 350464 and 346921 as illustrated below:

350464 - 346921 = 3543

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 3543. Below we list alternate solutions if available.

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