What 2 square numbers subtract to make 7504?


What two square numbers subtract to make 7504? In other words, when you subtract one square number from another square number, the answer is 7504. 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 = 7504

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

952 - 392 = 7504

952 is 9025 and 392 is 1521, therefore the answer to the question "What 2 square numbers subtract to make 7504?" is 9025 and 1521 as illustrated below:

9025 - 1521 = 7504


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 7504. Below we list alternate solutions if available.

21904 - 14400 = 7504
75625 - 68121 = 7504
223729 - 216225 = 7504

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