What 2 square numbers subtract to make 528?

What two square numbers subtract to make 528? In other words, when you subtract one square number from another square number, the answer is 528. 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 = 528

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

23² - 1² = 528

23² is 529 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 528?" is 529 and 1 as illustrated below:

529 - 1 = 528

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 528. Below we list alternate solutions if available.

784 - 256 = 528
1369 - 841 = 528
2209 - 1681 = 528

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