What 2 square numbers subtract to make 7395?

What two square numbers subtract to make 7395? In other words, when you subtract one square number from another square number, the answer is 7395. 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 = 7395

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

86² - 1² = 7395

86² is 7396 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 7395?" is 7396 and 1 as illustrated below:

7396 - 1 = 7395

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 7395. Below we list alternate solutions if available.

9604 - 2209 = 7395
20164 - 12769 = 7395
51076 - 43681 = 7395

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What 2 square numbers subtract to make 7396?
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