What 2 square numbers subtract to make 7460?

What two square numbers subtract to make 7460? In other words, when you subtract one square number from another square number, the answer is 7460. 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 = 7460

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

378² - 368² = 7460

378² is 142884 and 368² is 135424, therefore the answer to the question "What 2 square numbers subtract to make 7460?" is 142884 and 135424 as illustrated below:

142884 - 135424 = 7460

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 7460. Below we list alternate solutions if available.

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