What 2 square numbers subtract to make 4137?

What two square numbers subtract to make 4137? In other words, when you subtract one square number from another square number, the answer is 4137. 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 = 4137

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

109² - 88² = 4137

109² is 11881 and 88² is 7744, therefore the answer to the question "What 2 square numbers subtract to make 4137?" is 11881 and 7744 as illustrated below:

11881 - 7744 = 4137

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 4137. Below we list alternate solutions if available.

89401 - 85264 = 4137
477481 - 473344 = 4137

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