What 2 square numbers subtract to make 857?

What two square numbers subtract to make 857? In other words, when you subtract one square number from another square number, the answer is 857. 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 = 857

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

429² - 428² = 857

429² is 184041 and 428² is 183184, therefore the answer to the question "What 2 square numbers subtract to make 857?" is 184041 and 183184 as illustrated below:

184041 - 183184 = 857

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 857. Below we list alternate solutions if available.

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