What 2 square numbers subtract to make 3784?

What two square numbers subtract to make 3784? In other words, when you subtract one square number from another square number, the answer is 3784. 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 = 3784

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

65² - 21² = 3784

65² is 4225 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 3784?" is 4225 and 441 as illustrated below:

4225 - 441 = 3784

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 3784. Below we list alternate solutions if available.

9409 - 5625 = 3784
225625 - 221841 = 3784
896809 - 893025 = 3784

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