Oh, dude, you're hitting me with the math questions, really? Like, okay, let me think for a sec... Ah, got it! It's 144 and 145. They're like the dynamic duo of square numbers, adding up to 289. Easy peasy, lemon squeezy!
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The two square numbers that add up to 289 are 144 and 145. This is because 12² = 144 and 13² = 169, which sum up to 289. In this case, the square root of 144 is 12, and the square root of 169 is 13.
324 - 289 = 35
There is no solution. For two numbers to add to an odd total, one of them must be even. If that number is also a prime it must be 2. But if one of the numbers is 2 and the two sum to 289, the other must be 287. But 287 is not a prime and the question required two primes to be added.
92
The likely square numbers are 36 and 1. (6^2 - 1^2) However, the square numbers 324 and 289 also work. (18^2 - 17^2)
Square numbers.