What 2 square numbers subtract to make 7533?

What two square numbers subtract to make 7533? In other words, when you subtract one square number from another square number, the answer is 7533. 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 = 7533

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

87² - 6² = 7533

87² is 7569 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 7533?" is 7569 and 36 as illustrated below:

7569 - 36 = 7533

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 7533. Below we list alternate solutions if available.

18769 - 11236 = 7533
23409 - 15876 = 7533
178929 - 171396 = 7533

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What 2 square numbers subtract to make 7534?
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