What 2 square numbers subtract to make 4495?

What two square numbers subtract to make 4495? In other words, when you subtract one square number from another square number, the answer is 4495. 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 = 4495

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

88² - 57² = 4495

88² is 7744 and 57² is 3249, therefore the answer to the question "What 2 square numbers subtract to make 4495?" is 7744 and 3249 as illustrated below:

7744 - 3249 = 4495

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 4495. Below we list alternate solutions if available.

8464 - 3969 = 4495
204304 - 199809 = 4495

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