What 2 square numbers subtract to make 3435?

What two square numbers subtract to make 3435? In other words, when you subtract one square number from another square number, the answer is 3435. 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 = 3435

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

122² - 107² = 3435

122² is 14884 and 107² is 11449, therefore the answer to the question "What 2 square numbers subtract to make 3435?" is 14884 and 11449 as illustrated below:

14884 - 11449 = 3435

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 3435. Below we list alternate solutions if available.

119716 - 116281 = 3435
329476 - 326041 = 3435

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