What 2 square numbers subtract to make 1467?

What two square numbers subtract to make 1467? In other words, when you subtract one square number from another square number, the answer is 1467. 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 = 1467

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

86² - 77² = 1467

86² is 7396 and 77² is 5929, therefore the answer to the question "What 2 square numbers subtract to make 1467?" is 7396 and 5929 as illustrated below:

7396 - 5929 = 1467

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 1467. Below we list alternate solutions if available.

60516 - 59049 = 1467
538756 - 537289 = 1467

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