What 2 square numbers subtract to make 6735?

What two square numbers subtract to make 6735? In other words, when you subtract one square number from another square number, the answer is 6735. 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 = 6735

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

232² - 217² = 6735

232² is 53824 and 217² is 47089, therefore the answer to the question "What 2 square numbers subtract to make 6735?" is 53824 and 47089 as illustrated below:

53824 - 47089 = 6735

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 6735. Below we list alternate solutions if available.

456976 - 450241 = 6735

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