What 2 square numbers subtract to make 1847?

What two square numbers subtract to make 1847? In other words, when you subtract one square number from another square number, the answer is 1847. 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 = 1847

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

924² - 923² = 1847

924² is 853776 and 923² is 851929, therefore the answer to the question "What 2 square numbers subtract to make 1847?" is 853776 and 851929 as illustrated below:

853776 - 851929 = 1847

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 1847. Below we list alternate solutions if available.

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