What 2 square numbers subtract to make 7352?

What two square numbers subtract to make 7352? In other words, when you subtract one square number from another square number, the answer is 7352. 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 = 7352

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

921² - 917² = 7352

921² is 848241 and 917² is 840889, therefore the answer to the question "What 2 square numbers subtract to make 7352?" is 848241 and 840889 as illustrated below:

848241 - 840889 = 7352

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 7352. Below we list alternate solutions if available.

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