What 2 square numbers subtract to make 7535?

What two square numbers subtract to make 7535? In other words, when you subtract one square number from another square number, the answer is 7535. 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 = 7535

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

96² - 41² = 7535

96² is 9216 and 41² is 1681, therefore the answer to the question "What 2 square numbers subtract to make 7535?" is 9216 and 1681 as illustrated below:

9216 - 1681 = 7535

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 7535. Below we list alternate solutions if available.

121104 - 113569 = 7535
571536 - 564001 = 7535

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