What 2 square numbers subtract to make 1752?

What two square numbers subtract to make 1752? In other words, when you subtract one square number from another square number, the answer is 1752. 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 = 1752

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

79² - 67² = 1752

79² is 6241 and 67² is 4489, therefore the answer to the question "What 2 square numbers subtract to make 1752?" is 6241 and 4489 as illustrated below:

6241 - 4489 = 1752

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 1752. Below we list alternate solutions if available.

22201 - 20449 = 1752
48841 - 47089 = 1752
192721 - 190969 = 1752

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