What 2 square numbers subtract to make 1401?

What two square numbers subtract to make 1401? In other words, when you subtract one square number from another square number, the answer is 1401. 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 = 1401

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

235² - 232² = 1401

235² is 55225 and 232² is 53824, therefore the answer to the question "What 2 square numbers subtract to make 1401?" is 55225 and 53824 as illustrated below:

55225 - 53824 = 1401

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 1401. Below we list alternate solutions if available.

491401 - 490000 = 1401

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