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Fuck math
Fizban140
Registered User, __BANNED USERS regular
Registered User, __BANNED USERS regular
I fucking hate math, it never makes sense. Like anything to the zero power equals one 8^0 so I want to multiply 8 times itself 0 times. Whatever, I guess I can just give up and memorize that it equals one, people who say math is all logic are full of shit.
How the fuck does 10√3 = 2√75
Does that mean 10 squared equals 3? I really don't get this shit at all.
How the fuck does 10√3 = 2√75
Does that mean 10 squared equals 3? I really don't get this shit at all.
Fizban140 on
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The order of operations is as follows...
Anything in parenthesis.
Sigmas and junk. (left to right)
Powers / Roots (left to right)
Multiplication / Division (left to right)
Addition / Subtraction (left to right)
Equals/etc.
Pretty sure that's it. But I wouldn't be surprised if I was wrong, math wasn't my strong point.
Edit: By Squares I mean root.
I probably fucked that up.
2√75 = √(75 * 4) = √300
(Because √100 = 10, √4 = 2, etc.)
About that problem: Well, you've got the square root of 75, right? First thing you want to think is: Is there any square that if you multiply it, will give you 75? Yes, there is: 25x3=75. What you have to understand is, this means that you could write the term as 2√75 or 2(√25x√3). So, this means you can take the square root of 25, which is 5, and "move it out". That is, you now have a 5 and then you multiply that 5 by the 2 (since the original term is essentially a multiplication) and you get 10. You also have the √3 so that remains and your answer is 10√3.
Hope that helps.
EDIT: I always get beaten to the helping punch.
What you do is factor the stuff inside the square roots and see if there're any square factors you can take out. In this case, 75=3*25=3*5*5, so you can take a 5 out, ie sqrt(75)=5 sqrt(3)
A root is what times itself n times equals this value. Such that the square root of say, 4 is 2.
So the square root of 3 is ~ 1.732. The square root of 75 is 8.66.
1.732 * 10 is 17.32 and 8.66 * 2 is 17.32 too.
Sometimes it's nice and even, but other times it's ugly. Like with the square root of 27... which is ~5.196
Huh, what? No... √ is a square root sign. It means that whatever number is under it gets the square root taken of it. 10 √3 would just be shorthand for 10 * √3 or 10 times the square root of 3. If your book actually says that √ means n^2 then it's wrong.
Actually, you can think about it as being done like powers... the square root of something is the same as raising that number to the 1/2 power... the cube root is raising it to the 1/3 power, etc...
Yeah, if it can't explain roots well, it is shit. Hell, try Wikipedia- it helped me with calculus.
I think you're just misunderstanding what it's saying (or you have a really horrible book)
√x = y means y^2 = x ; so √16 = 4 means that 4^2 = 16
The root sign without any number just means the square root for simplification, but √ and 2√ are equivalent
For bigger powers,
3√x = y means y^3 = x; so 3√27 = 3 means 3^3 = 3*3*3 = 27
In general, the nth root of x is n√x = y means y^n = x
So get the book, get a pen and paper, and just do it. Books >> Any program you can purchase to teach you something. There is a good reason why most Computer Scientists have a shitton of programming language books in deadtree format.
Only if that 3 or whatever in front of the root sign is a superscript 3 (http://s22318.tsbvi.edu/mathproject/pics/spoken_math/112-11.gif) Because if it's just a full sized 3 in front of a root sign, it just means 3 * √x
Well, for one thing most of us only have a single screen, and that's needed to display code. :P
But yea, a book or if you can find a tutor or class dedicated to teaching it would be far more beneficial.
If you can then yeah, definitely. It's going to be far easier to learn it through a class than it would be on your own.
√n means the same as n^(1/2).
So y√n = y(n^(1/2)) e.g. 3√5 = 3(5^(1/2))
Anyway, just practice with maths, it's the only way. And free classes are always worth taking. Learning is good.
Its through this site called Coursecompass and it uses this plugin MathXL
It gives you problems from the assigned text book, and you can either just enter an answer, watch someone do it (on some problems), watch an animation of it being solved(on some problems), have the program walk you through each step, or just show you an example of the type of problem it is for you to solve on your own.
It is fucking epic and awesome.
I just wish I wasn't such a math idiot.
Maths is probably quite hard to do without motivation, especially the more abstract stuff. I only learnt it because I needed to to get into uni (although it was satisfying too).
Yes, this is correct. There are two concepts being confused here due to limitations of the ordinary computer keyboard as an input device for mathematical equations.
When you say:
3√x
That could mean one of two things:
1. 3 times the square root (2nd root) of X
2. The cube root (3rd root) of X
On paper, as noted above, these are written differently. In the first case, the 3 is as high as the root sign and is written to the left of the root sign. In the second case, the 3 is written as a superscripted numeral in the crook of the root sign.
It is logical. This explains why a number to the zeroth power is equal to 1.
Note that this equation is only true in case (1) above: where you mean:
10 times the square root of 3 = 2 times the square root of 75. Incidentally, both are equal to 17.3205081.
It's easy to see why if you square both sides: that is, multiply both sides by themselves. Since you're doing the same operation to both sides, the (in)equality holds. But the sides are compound: they include two quantities each - a times b. So we have to know how to square a times b. There's a rule that (a times b) squared = (a squared) times (b squared). By squaring both sides, we now have:
100 times 3 = 4 times 75.
300 = 300.
Alternatively, you can move the outer quantities into the root signs as above posters have noted.
Also, if you're wondering why you leave it as a surd, it's 'cause it's an exact value, as opposed to the approximated decimal.
I taught myself for most things at a-level. But I needed good grades and most other people didn't, so I was pretty motivated. Good advice there. That's the advantage of maths, you can just plough on on your own and not have to put up with learning the wrong stuff, or things whoever is testing you views as incorrect/irrelevant.
Please don't give up on math. The reason you're having a problem seeing how 8^0 = 1 is because someone didn't teach you powers/exponents in a way to make 8^0 = 1 very easy to see. Somebody probably told you that:
8^1 = 8
8^2 = 8*8
8^3 = 8*8*8
etc.
Of course, I *totally* agree with you that it's not obvious (to the non-mathematically inclined) that 8^0 = 1.
Instead of writing it as above, let's try it this way:
8^0 = 1
8^1 = 1*8
8^2 = 1*8*8
8^3 = 1*8*8*8
etc.
So, if you have 8^2, it doesn't tell you how many times you multiply 8 by itself: it tells you how many times you multiply ONE by 8. For example, 3^5 tells you to multiply one five times by three: 3^4 = 1*3*3*3*3*3. And of course, you now see that 8^0 means that you multiply one zero times by 8, thus 8^0 = 1.
Does it make more sense now?
Nintendo Network ID: PhysiMarc
I'd say that, since I'm a mathematician.
*ahem*
Differentiation is the Devil I say, the Devil!
As wanky as it sounds it's really down to attitude, if you go in with the plan of "I can't do this" then chances are you wont.
You always need to remember maths follows a set of rules and it always follows them. If you can't understand something, break it down into easier sections and most importantly recognise the problem
Satans..... hints.....
I am finally starting to figure things out, everyone at work thinks I am a lazy and have a bad attitude and I really am lazy. All I do is play video games, I waste too much fucking time. I really want to just spend a lot of time getting good and math and taking college classes.
If you take any number and divide it by itself you get 1 (except for zero duh)...so 8^8 / 8^8 = 8^(8-8) = 8^0 =1
Hard to do without having the fraction bar though.
What service/ Job are you in? The base should have some refresher courses, and Tuition assistance ought to cover a refresher course at a local community college. Depending on your superior officer's background it may be worth asking him. I'm an engineer, but if one of my subordinates came to me looking for some help I'd at least try and point him to a good local school. It's also a good idea to let him know you want to take some classes, so that maybe he can help balance your workload a little. My Major gives a lot of leeway when it comes to classes.
-Terry Pratchett