What 2 square numbers subtract to make 621?

What two square numbers subtract to make 621? In other words, when you subtract one square number from another square number, the answer is 621. 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 = 621

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

25² - 2² = 621

25² is 625 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 621?" is 625 and 4 as illustrated below:

625 - 4 = 621

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 621. Below we list alternate solutions if available.

1521 - 900 = 621
11025 - 10404 = 621
96721 - 96100 = 621

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