What 2 square numbers subtract to make 1532?

What two square numbers subtract to make 1532? In other words, when you subtract one square number from another square number, the answer is 1532. 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 = 1532

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

384² - 382² = 1532

384² is 147456 and 382² is 145924, therefore the answer to the question "What 2 square numbers subtract to make 1532?" is 147456 and 145924 as illustrated below:

147456 - 145924 = 1532

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 1532. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1533?
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