What 2 square numbers subtract to make 3723?

What two square numbers subtract to make 3723? In other words, when you subtract one square number from another square number, the answer is 3723. 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 = 3723

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

62² - 11² = 3723

62² is 3844 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 3723?" is 3844 and 121 as illustrated below:

3844 - 121 = 3723

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 3723. Below we list alternate solutions if available.

13924 - 10201 = 3723
386884 - 383161 = 3723

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