What 2 square numbers subtract to make 7357?

What two square numbers subtract to make 7357? In other words, when you subtract one square number from another square number, the answer is 7357. 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 = 7357

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

529² - 522² = 7357

529² is 279841 and 522² is 272484, therefore the answer to the question "What 2 square numbers subtract to make 7357?" is 279841 and 272484 as illustrated below:

279841 - 272484 = 7357

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 7357. Below we list alternate solutions if available.

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