What 2 square numbers subtract to make 5853?

What two square numbers subtract to make 5853? In other words, when you subtract one square number from another square number, the answer is 5853. 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 = 5853

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

977² - 974² = 5853

977² is 954529 and 974² is 948676, therefore the answer to the question "What 2 square numbers subtract to make 5853?" is 954529 and 948676 as illustrated below:

954529 - 948676 = 5853

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 5853. Below we list alternate solutions if available.

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