What 2 square numbers subtract to make 5949?

What two square numbers subtract to make 5949? In other words, when you subtract one square number from another square number, the answer is 5949. 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 = 5949

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

335² - 326² = 5949

335² is 112225 and 326² is 106276, therefore the answer to the question "What 2 square numbers subtract to make 5949?" is 112225 and 106276 as illustrated below:

112225 - 106276 = 5949

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 5949. Below we list alternate solutions if available.

986049 - 980100 = 5949

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