What 2 square numbers subtract to make 9252?

What two square numbers subtract to make 9252? In other words, when you subtract one square number from another square number, the answer is 9252. 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 = 9252

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

266² - 248² = 9252

266² is 70756 and 248² is 61504, therefore the answer to the question "What 2 square numbers subtract to make 9252?" is 70756 and 61504 as illustrated below:

70756 - 61504 = 9252

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 9252. Below we list alternate solutions if available.

599076 - 589824 = 9252

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