What 2 square numbers subtract to make 7456?

What two square numbers subtract to make 7456? In other words, when you subtract one square number from another square number, the answer is 7456. 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 = 7456

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

241² - 225² = 7456

241² is 58081 and 225² is 50625, therefore the answer to the question "What 2 square numbers subtract to make 7456?" is 58081 and 50625 as illustrated below:

58081 - 50625 = 7456

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 7456. Below we list alternate solutions if available.

220900 - 213444 = 7456
872356 - 864900 = 7456

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