What 2 square numbers subtract to make 7408?

What two square numbers subtract to make 7408? In other words, when you subtract one square number from another square number, the answer is 7408. 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 = 7408

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

467² - 459² = 7408

467² is 218089 and 459² is 210681, therefore the answer to the question "What 2 square numbers subtract to make 7408?" is 218089 and 210681 as illustrated below:

218089 - 210681 = 7408

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 7408. Below we list alternate solutions if available.

861184 - 853776 = 7408

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