What 2 square numbers subtract to make 7640?

What two square numbers subtract to make 7640? In other words, when you subtract one square number from another square number, the answer is 7640. 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 = 7640

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

201² - 181² = 7640

201² is 40401 and 181² is 32761, therefore the answer to the question "What 2 square numbers subtract to make 7640?" is 40401 and 32761 as illustrated below:

40401 - 32761 = 7640

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 7640. Below we list alternate solutions if available.

149769 - 142129 = 7640
915849 - 908209 = 7640

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