What 2 square numbers subtract to make 9475?

What two square numbers subtract to make 9475? In other words, when you subtract one square number from another square number, the answer is 9475. 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 = 9475

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

202² - 177² = 9475

202² is 40804 and 177² is 31329, therefore the answer to the question "What 2 square numbers subtract to make 9475?" is 40804 and 31329 as illustrated below:

40804 - 31329 = 9475

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 9475. Below we list alternate solutions if available.

902500 - 893025 = 9475

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