What 2 square numbers subtract to make 7825?

What two square numbers subtract to make 7825? In other words, when you subtract one square number from another square number, the answer is 7825. 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 = 7825

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

169² - 144² = 7825

169² is 28561 and 144² is 20736, therefore the answer to the question "What 2 square numbers subtract to make 7825?" is 28561 and 20736 as illustrated below:

28561 - 20736 = 7825

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 7825. Below we list alternate solutions if available.

616225 - 608400 = 7825

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