What 2 square numbers subtract to make 1757?

What two square numbers subtract to make 1757? In other words, when you subtract one square number from another square number, the answer is 1757. 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 = 1757

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

129² - 122² = 1757

129² is 16641 and 122² is 14884, therefore the answer to the question "What 2 square numbers subtract to make 1757?" is 16641 and 14884 as illustrated below:

16641 - 14884 = 1757

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 1757. Below we list alternate solutions if available.

772641 - 770884 = 1757

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