What 2 square numbers subtract to make 8435?

What two square numbers subtract to make 8435? In other words, when you subtract one square number from another square number, the answer is 8435. 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 = 8435

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

138² - 103² = 8435

138² is 19044 and 103² is 10609, therefore the answer to the question "What 2 square numbers subtract to make 8435?" is 19044 and 10609 as illustrated below:

19044 - 10609 = 8435

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 8435. Below we list alternate solutions if available.

367236 - 358801 = 8435
715716 - 707281 = 8435

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