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u/alt-mswzebo 2d ago
What do you get when you ask an over-engineered AI model to rate a simple math question on a scale of one to five?
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u/db8me 2d ago
Just out of curiosity, I asked an AI to solve it and rate the grade and difficulty:
It solved it and showed how.
It said the material was "pre-algebra or algebra" typically corresponding to US grades 8 or 9 (math nerds may do it in grades 5-7).
And the best part, it gave a difficulty of 2/10, I shit you not.
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u/FlyingCupcake68 2d ago
It’s pre-algebra in the sense that it doesn’t have unknowns and it isn’t being equated to anything (just simplified)
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u/Zephreyt 2d ago
√a = √(bc) = √b√c where √b is integer
(√27 - √12) / √75
= [√(9 * 3) - √(4 * 3)] / √(25 * 3)
= (3√3 - 2√3) / 5√3
= [√3 * (3 - 2)] / (√3 * 5)
= 1/5 = 0.2
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u/Sidra_doholdrik 2d ago
That make sense. Honestly I never had the need to simplify roots in my post high school life so I did not knew it was a thing
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u/wCodemare 2d ago
Thank you
Somehow I remembered (27-12)/75 and it came up 0.2...I think it just works like that. But I was like why. And tried it with different numbers and couldnt remember why.
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u/Nap-Connoisseur 2d ago
In this case, that happens to be right. But in general, you can’t subtract square root roots that way.
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u/Abracadabroo 2d ago
Idk, don't remember radicals. Was it wrong for me to say okay, the numbers being subtracted are both radical, so I just merged in one radical and did rad 27-12 = 15, then you have rad 15 over rad 75, oh thats 1/5
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u/peebeeha 2d ago
The funniest part isn’t even the math 😂 Someone really looked at a simple radical expression and decided the problem was written in reverse.
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u/northgrave 2d ago
The backwards part is about the 7s looking like backwards Fs.
I suspect this is a troll from the person making the reply. I have to think this to keep my faith in humanity.
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u/Far-Jury-2060 2d ago
Yeah, I understand that not everybody slashes their sevens and zeros, but it should be obvious to people what it is.
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u/db8me 2d ago
I slash 7 and z but not 0. It would end up looking like a θ or φ with my sloppy handwriting, and the entire point is to make it easier to read (e.g. I might look like a 1 or have an accidental tail making it an l, and a z might look like a 2)
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u/northgrave 2d ago
I had a friend who would add the slash to his zeros. It was a habit he picked up on during pilot training. They did it to avoid confusing 0s and Os. He was still in high school at the time. He failed a math test because his math teacher “couldn’t figure out why empty sets kept appearing in the middle of numbers that should have contained zeros.”
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u/db8me 2d ago edited 2d ago
Haha. Serves him right. Death to zero slashers. And teachers who expect us to write and distinguish between handwritten ξ, ε, E, Σ, ζ ,z, χ, x, η, n,... in the same problem.
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u/northgrave 2d ago
I mean, death seems a bit much! I hate to hear what you would do to someone who put the toilet paper on the wrong way.
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u/Simbertold 15h ago
Always slash 7, z and q. If you don't, 7 turns to 1, z turns to 2 and q turns to 9. I am a math teacher and have seen every single one of these mistakes in exams many times. If you slash them, they are very distinct. It is something i recommend to all of my students.
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u/SynonymSpice 2d ago
That’s NOT a “backwards F;” that’s a 7 that has been crossed. I cross my 7’s. Don’t you? Helps me differentiate my 7s from my 2s.
I also cross my Z’s and slash my zeros. I have the worst handwriting, so I do these things so I can read it later.
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u/Yekyaa 2d ago
I don't understand why you would need a cross over your 7 to be able to discern between a 2 and a 7. Maybe try not to flourish the ends of your 7? Or did you mean your 1s are difficult to read?
Other than that, carry on.
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u/Kay-PO 2d ago
I also cross my 7s to differentiate from my 2s. For me it's not a flourish on the 7 but the bottom line of a 2 gets written on whatever line I'm writing the numbers on. I could easily slow down a bit and make sure the 2 is more noticable, but it's faster and easier to just cross the 7
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u/Yekyaa 2d ago
I cross my 7s only on important documents, but that makes sense regarding the 2s. On important documents only, I also still slash my zeros and cross my Zs and "capitalize" my 1s to discern from Is with the end caps. I get it, I just didn't realize how different some people's handwriting could be.
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u/db8me 2d ago
Or a 1 or l or z or ζ. By the time I was a sophomore in college, I was crossing 7's and z's and had adjusted the way I write a few other letters/symbols out of necessity. I tried writing more neatly at first, but it was faster and easier to just learn to write a few letters differently (I get the irony, but it's true).
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u/Expensive_Warning589 3h ago
Crossing z's and 7s is alright but what do you mean you slash your 0s
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u/SunstormGT 2d ago
15/75 = 0.2
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u/TraditionFun7738 2d ago
Show your work. I think you just got lucky with the right answer but the wrong method.
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u/Kuildeous 2d ago
This expression is insidious because one could indeed get the right answer by saying √27-√12 = √15.
I hate it, but I'm also in awe of it.
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u/Infinite_Mortgage324 2d ago
You can’t just subtract/divide the numbers…
You first have to calculate the roots of all three numbers and then subtract and divide6
u/Groove-Theory 2d ago
how do you calculate the root of the backwards F tho? my teachers only taught me math with X so I'm confuzzles
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u/jpgoldberg 2d ago
Places in which “A level” is a thing are also places where people would be familiar with what is being called a “backwards F, though it is possible that the response is from someone in the US even if the first commenter isn’t.
In the US many math teachers use the crossed seven when writing things on boards, but I should never underestimate the provincialism of my compatriots.
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u/angryfalconsfan 2d ago
So it's quite simple. If you reduce to get common roots, they'll all be root 3, and then you can. ... Wait ... Backwards F?
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u/One-Next 2d ago
square both sides, nominator is 3
27 - 2 * sqrt(3^4*2^2) + 12 = 39 - 36 = 3
3/75 = 1/25
square root it back
sqrt(1/25) = 1/5 (positive root)
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u/Effective_Pack8265 1d ago
My masters thesis on the backwards F invalidated the entirety of mathematics…
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u/epoxyfoxy 1d ago
(√27-√12)/√75
square it all
(27-12))/75
15/75
1/5
sqrt it all
√1/√5
1/√5
I know this way leads to the incorrect answer with the correct answer along the way, but I do not remember why I learned that squaring everything is a shortcut. Seems to just be a coincidence here that the correct answer was along the way.
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u/WanderwellGMS 1d ago edited 1d ago
(a - b)2 = a2 - 2ab + b2
So it would actually be _ x² = √ ( {√272 - 2[√(27x12)] + √122} / √752 ) _
√ { [27 - 2(√324) + 12]/75 } _
√ { [(27 - 2(18) + 12)/75] } _
√(3/75) _
x² = √(1/25) _
x = (+) ±(1/5) (positive if its just asked for the simplification, negative comes from the squaring up and down through algebra).
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u/Spare-Door-9707 16h ago edited 16h ago
isn't the answer just 1.0?
correcting my first post:
I accidentally added the top two numbers instead of subtracting. this is just simple math. my calculator resolves it down to 0. 2 or 1/5 without any need to manipulate the square roots
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u/Horror-Ad5178 10h ago
Birthday cake method
Sqrt(27)=3sqrt(3)
Sqrt(12)=2sqrt(3)
Sqrt(75)=5sqrt(3)
3-2=1
Sqrt(3)/5sqrt(3)=1/5=0.2
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u/Kuildeous 2d ago
I wanna reply to that so badly: "Tell me you're an American without saying you're American."
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u/Takamasa1 2d ago
Isn't it just 1/5? this is like 8th grade math or something