What 2 square numbers subtract to make 4248?

What two square numbers subtract to make 4248? In other words, when you subtract one square number from another square number, the answer is 4248. 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 = 4248

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

77² - 41² = 4248

77² is 5929 and 41² is 1681, therefore the answer to the question "What 2 square numbers subtract to make 4248?" is 5929 and 1681 as illustrated below:

5929 - 1681 = 4248

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 4248. Below we list alternate solutions if available.

16129 - 11881 = 4248
33489 - 29241 = 4248
127449 - 123201 = 4248

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