What 2 square numbers subtract to make 4628?

What two square numbers subtract to make 4628? In other words, when you subtract one square number from another square number, the answer is 4628. 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 = 4628

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

102² - 76² = 4628

102² is 10404 and 76² is 5776, therefore the answer to the question "What 2 square numbers subtract to make 4628?" is 10404 and 5776 as illustrated below:

10404 - 5776 = 4628

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 4628. Below we list alternate solutions if available.

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