What 2 square numbers subtract to make 7784?

What two square numbers subtract to make 7784? In other words, when you subtract one square number from another square number, the answer is 7784. 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 = 7784

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

153² - 125² = 7784

153² is 23409 and 125² is 15625, therefore the answer to the question "What 2 square numbers subtract to make 7784?" is 23409 and 15625 as illustrated below:

23409 - 15625 = 7784

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 7784. Below we list alternate solutions if available.

81225 - 73441 = 7784
950625 - 942841 = 7784

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