What 2 square numbers subtract to make 353?

What two square numbers subtract to make 353? In other words, when you subtract one square number from another square number, the answer is 353. 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 = 353

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

177² - 176² = 353

177² is 31329 and 176² is 30976, therefore the answer to the question "What 2 square numbers subtract to make 353?" is 31329 and 30976 as illustrated below:

31329 - 30976 = 353

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 353. Below we list alternate solutions if available.

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