What 2 square numbers subtract to make 4000?

What two square numbers subtract to make 4000? In other words, when you subtract one square number from another square number, the answer is 4000. 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 = 4000

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

65² - 15² = 4000

65² is 4225 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 4000?" is 4225 and 225 as illustrated below:

4225 - 225 = 4000

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 4000. Below we list alternate solutions if available.

4900 - 900 = 4000
12100 - 8100 = 4000
17689 - 13689 = 4000

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