What 2 square numbers subtract to make 749?

What two square numbers subtract to make 749? In other words, when you subtract one square number from another square number, the answer is 749. 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 = 749

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

57² - 50² = 749

57² is 3249 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 749?" is 3249 and 2500 as illustrated below:

3249 - 2500 = 749

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 749. Below we list alternate solutions if available.

140625 - 139876 = 749

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