What 2 square numbers subtract to make 8749?

What two square numbers subtract to make 8749? In other words, when you subtract one square number from another square number, the answer is 8749. 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 = 8749

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

343² - 330² = 8749

343² is 117649 and 330² is 108900, therefore the answer to the question "What 2 square numbers subtract to make 8749?" is 117649 and 108900 as illustrated below:

117649 - 108900 = 8749

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 8749. Below we list alternate solutions if available.

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