What 2 square numbers subtract to make 2696?

What two square numbers subtract to make 2696? In other words, when you subtract one square number from another square number, the answer is 2696. 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 = 2696

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

339² - 335² = 2696

339² is 114921 and 335² is 112225, therefore the answer to the question "What 2 square numbers subtract to make 2696?" is 114921 and 112225 as illustrated below:

114921 - 112225 = 2696

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 2696. Below we list alternate solutions if available.

455625 - 452929 = 2696

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