What 2 square numbers subtract to make 1252?

What two square numbers subtract to make 1252? In other words, when you subtract one square number from another square number, the answer is 1252. 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 = 1252

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

314² - 312² = 1252

314² is 98596 and 312² is 97344, therefore the answer to the question "What 2 square numbers subtract to make 1252?" is 98596 and 97344 as illustrated below:

98596 - 97344 = 1252

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 1252. Below we list alternate solutions if available.

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