What 2 square numbers subtract to make 3752?

What two square numbers subtract to make 3752? In other words, when you subtract one square number from another square number, the answer is 3752. 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 = 3752

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

81² - 53² = 3752

81² is 6561 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 3752?" is 6561 and 2809 as illustrated below:

6561 - 2809 = 3752

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 3752. Below we list alternate solutions if available.

19881 - 16129 = 3752
221841 - 218089 = 3752
881721 - 877969 = 3752

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