What 2 square numbers subtract to make 7441?

What two square numbers subtract to make 7441? In other words, when you subtract one square number from another square number, the answer is 7441. 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 = 7441

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

535² - 528² = 7441

535² is 286225 and 528² is 278784, therefore the answer to the question "What 2 square numbers subtract to make 7441?" is 286225 and 278784 as illustrated below:

286225 - 278784 = 7441

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 7441. Below we list alternate solutions if available.

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