What 2 square numbers subtract to make 7528?

What two square numbers subtract to make 7528? In other words, when you subtract one square number from another square number, the answer is 7528. 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 = 7528

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

943² - 939² = 7528

943² is 889249 and 939² is 881721, therefore the answer to the question "What 2 square numbers subtract to make 7528?" is 889249 and 881721 as illustrated below:

889249 - 881721 = 7528

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 7528. Below we list alternate solutions if available.

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