What 2 square numbers subtract to make 3753?

What two square numbers subtract to make 3753? In other words, when you subtract one square number from another square number, the answer is 3753. 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 = 3753

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

83² - 56² = 3753

83² is 6889 and 56² is 3136, therefore the answer to the question "What 2 square numbers subtract to make 3753?" is 6889 and 3136 as illustrated below:

6889 - 3136 = 3753

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 3753. Below we list alternate solutions if available.

45369 - 41616 = 3753
393129 - 389376 = 3753

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