What 2 square numbers subtract to make 7532?

What two square numbers subtract to make 7532? In other words, when you subtract one square number from another square number, the answer is 7532. 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 = 7532

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

276² - 262² = 7532

276² is 76176 and 262² is 68644, therefore the answer to the question "What 2 square numbers subtract to make 7532?" is 76176 and 68644 as illustrated below:

76176 - 68644 = 7532

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 7532. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7533?
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