What 2 square numbers subtract to make 4528?

What two square numbers subtract to make 4528? In other words, when you subtract one square number from another square number, the answer is 4528. 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 = 4528

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

287² - 279² = 4528

287² is 82369 and 279² is 77841, therefore the answer to the question "What 2 square numbers subtract to make 4528?" is 82369 and 77841 as illustrated below:

82369 - 77841 = 4528

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 4528. Below we list alternate solutions if available.

322624 - 318096 = 4528

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