How do you convince someone who thinks the square root of 250

>>8070988
Why are those particular countries circled?

>>8070988
Sqrt(0.5) = 0.25
Sqrt(500) = 10 Sqrt(5)

>>8070988
Because the square root of 0.25 kg is 0.5 kg^(1/2), and the square root of 250 grams is ~15.8 grams^(1/2).

1 kg^(1/2) =/= 1000 grams^(1/2)

>>8070988
>How do you convince someone who thinks the square root of 250 grams is 500 (0.25 kg's square root is 0.5kg) that they're wrong?

That depends 100% on why I need them to understand they're wrong.

>>8070988
You need to learn some basic dimensional analysis.
https://en.wikipedia.org/wiki/Dimensional_analysis
The square root of 250 grams is not well-defined because the square root of the unit "gram" is not well-defined.

If you mean that the dimensionless number should be square-rooted, then the dimension applied on after the fact, then you already noted the problems in that approach if you are not careful about specifying the particular unit that must be used, i.e. "gram" vs "kilogram".

>>8070988
The square root of 1 gram is NOT 1 gram. It is 1 g^(0.5) [a square-root-gram, which doesn't exist lol]
The square root of 1 kg is NOT 1 kg. It is 1 kg^(0.5) [a square-root-kilogram, which also doesn't exist]

1000 g^(0.5) =/= 1 kg^(0.5)

Kind of like how 1000m = 1km, but 1000 m^2 =/= 1 km^2
The only difference is that with your mass example you are doing sqrt, not square

Basically, if there are units, you can't square or sqrt something without also doing it to the units. A square-meter is not the same thing as a meter, and a sqrt-gram is not the same as a gram. I can't say 10 m times 10 m equals 100 m. That is incorrect. The answer would be 100 m^2.

>>8070988
c^2 is not a velocity

I dont get your question
the square root of 0.25 kg is not 0.5 kg its 0.5 * square root of kg
the square root of 250g is not 500g its sqrt(250)*sqrt(0.001)*sqrt(kg)
if want to ignore the units why even mention them?

>>8071052
this. stopped ma excel

should read first ;)

>>8071217
I think that this anon:
>>8071069
might have described it better than I did.

File: wisdom.png (343KB, 840x1410px) Image search: [Google]

343KB, 840x1410px

>>8070988
Sun Tzu says: Don't forget to do the same stuff to your units that you do to your numbers, you idiot.