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Mathematics, 17.06.2021 19:00 hdawg07

I have to solve the equation: |4 \sqrt{2} - 6 |  +  |2 \sqrt{10}  - 6|
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
But this wasn't in the answers either.
After I checked, the correct answer was:
So I was wondering where does the minus come from?

It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know. ​


4 \sqrt{2} + 2 \sqrt{10}  + 12
|4 \sqrt{2}  - 6  + (2 \sqrt{10} - 6 | =   \\ =  |4 \sqrt{2}  - 6 + 2 \sqrt{10}  + 6 |  =  \\   = 4 \sqrt{2}  + 2 \sqrt{10}
2 \sqrt{10}  - 4 \sqrt{2}

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I have to solve the equation:
The first thing I tried is simply removing the modules, it seem...
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