What 2 square numbers subtract to make 4155?

What two square numbers subtract to make 4155? In other words, when you subtract one square number from another square number, the answer is 4155. 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 = 4155

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

146² - 131² = 4155

146² is 21316 and 131² is 17161, therefore the answer to the question "What 2 square numbers subtract to make 4155?" is 21316 and 17161 as illustrated below:

21316 - 17161 = 4155

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 4155. Below we list alternate solutions if available.

174724 - 170569 = 4155
481636 - 477481 = 4155

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