What 2 square numbers subtract to make 3528?

What two square numbers subtract to make 3528? In other words, when you subtract one square number from another square number, the answer is 3528. 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 = 3528

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

63² - 21² = 3528

63² is 3969 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 3528?" is 3969 and 441 as illustrated below:

3969 - 441 = 3528

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 3528. Below we list alternate solutions if available.

4489 - 961 = 3528
5929 - 2401 = 3528
11449 - 7921 = 3528

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