What 2 square numbers subtract to make 7249?

What two square numbers subtract to make 7249? In other words, when you subtract one square number from another square number, the answer is 7249. 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 = 7249

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

335² - 324² = 7249

335² is 112225 and 324² is 104976, therefore the answer to the question "What 2 square numbers subtract to make 7249?" is 112225 and 104976 as illustrated below:

112225 - 104976 = 7249

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 7249. Below we list alternate solutions if available.

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