NationStates Jolt Archive


What is the square root of 1 million

Alexanderom
23-11-2005, 00:20
If you get this right I'll send you a biscuit. No calculators.
Uber Awesome
23-11-2005, 00:21
One thousand.
Alexanderom
23-11-2005, 00:22
wrong
Super-power
23-11-2005, 00:23
1.0 x 10^3. More commonly expressed as 1,000
Alexanderom
23-11-2005, 00:24
Still wrong
Allthenamesarereserved
23-11-2005, 00:25
wrong
No he's not wrong.
Alexanderom
23-11-2005, 00:25
Yes he is.
Damor
23-11-2005, 00:26
depends on your definition of 1, million, and square root.
Using normal mathematical conventions the answer would be 1 thousand. But obviously you've chosen to deviate from the normal path.
So my final answer is l'kuyivoleratu, where l'kuyivoleratu is defined as the answer you're looking for.
Super-power
23-11-2005, 00:26
Still wrong
You just don't want to give me a biscuit
Alexanderom
23-11-2005, 00:27
By square root, I mean what number squared will give an answer of 1000000
Kazcaper
23-11-2005, 00:27
Is it a trick question or something?
Odinsvrede
23-11-2005, 00:27
I have no idea. Maths is not a strong point.
But some freak at the theatre once kept telling me that the square route of minus one was I.
Have no idea what that means.
He was a freak anyway.
Yep, so.... A million? Square route of? HAH!
Gruenberg
23-11-2005, 00:28
In base ten, plus/minus one thousand. In base cleverdickery...no idea.
Uber Awesome
23-11-2005, 00:28
Here's a better question: "what is the point of a thread where you ask 'what is the square root of 1 million?', but without the question mark, and then tell people they're wrong when they give you the correct answer?"
Alexanderom
23-11-2005, 00:28
no it is not a trick question
Allthenamesarereserved
23-11-2005, 00:28
Is it a trick question or something?
Apparently, and the only trick I can see is in his definition of squared.
EDIT: unless it's something lame like we're providing the incorrect number of decimal places or something.
Mixolocria
23-11-2005, 00:29
Are you looking for "positive or negative 1000"?
The Blaatschapen
23-11-2005, 00:29
1000 or -1000
Uber Awesome
23-11-2005, 00:29
Are you looking for "positive or negative 1000"?

That must be it. It's the only way we can be wrong.
Alexanderom
23-11-2005, 00:29
In base ten, plus/minus one thousand. In base cleverdickery...no idea.

You are right, the correct answer was +/- 1000.
To recieve your biscuit please send me a self addressed envelope
Damor
23-11-2005, 00:29
By square root, I mean what number squared will give an answer of 1000000Last I checked, 1000 x 1000 was 1000000. So the answer would still be one thousand.

Let's discuss what you think the answer is.
Super-power
23-11-2005, 00:30
I have no idea. Maths is not a strong point.
But some freak at the theatre once kept telling me that the square route of minus one was I.
First of all he's dead wrong. It's not I, it's 'i.'
Lazy Otakus
23-11-2005, 00:30
Maybe +/- 1000?
Gruenberg
23-11-2005, 00:30
We wasted two pages of discussion on that? Dear God. Is your mother proud of you?
The Blaatschapen
23-11-2005, 00:31
Yes, but you can't see capitals when you're talking, now can you? :)
Damor
23-11-2005, 00:31
You are right, the correct answer was +/- 1000.That is only true if you use complex square root.
The normal one is a function, and only gives the positive root.
Huckaber
23-11-2005, 00:31
We were molested about this in math recently.

It doesn't work anything getting the roots out of a parabola when you don't take in both aspects of the square!
Damor
23-11-2005, 00:34
So, now that that's out of the way.
What is the cube root of 1000000 (where cube root is the multivalued inverse relation to cubing)
Uber Awesome
23-11-2005, 00:35
So, now that that's out of the way.
What is the cube root of 1000000 (where cube root is the multivalued inverse relation to cubing)

100?
Shienna
23-11-2005, 00:37
The square root of any number can be a positive number and an equally great number, but negative.

This is how it has been for a long time, and how it will continue to be. The fact that it is not taught in basic maths does not mean it's not true or widely accepted throughout the world.

Square root of 4 is either 2 or -2, in all cases. Nothing complex square root or simple square root, because there is no complex or simple version. There's the square root, which is defined as giving a number that, when squared, will present you with the number you have entered into the square root equasion.

However, the answer of 1000 would be correct sort of. In truth, your question was impossible to answer. Because you are being picky bout +/-, I will be picky now. you asked for what NUMBER. Yes, singular, number, not numbers. So, technically, the answer cannot be +/- 1000, because those are two seperate numbers.

Anw now, we should let it rest :P.
Thelona
23-11-2005, 00:38
By square root, I mean what number squared will give an answer of 1000000

That's a different question. The square root of a positive number is commonly defined to be positive.
Myrmidonisia
23-11-2005, 00:39
Last I checked, 1000 x 1000 was 1000000. So the answer would still be one thousand.

Let's discuss what you think the answer is.
Your answer is only correct if you are an engineer. There is also the negative root that the mathematicians like to see. Mostly the negative root doesn't matter or is part of a trivial solution, but as we all know mathematicians are experts on trivia.
Damor
23-11-2005, 00:39
100?That's the one real solution, but there are two more complex solutions. (Which is probably a mean thing to ask for)
Shienna
23-11-2005, 00:40
Not neccesarily. The answer is commonly given as the only right one by people. however, because majority does so does not mean it is so.

In fact, if I am not mistaken, it is commonly defined without any note regarding positive or negative numbers.
Myrmidonisia
23-11-2005, 00:40
First of all he's dead wrong. It's not I, it's 'i.'
Or 'j', depending on what class you're taking.
Super-power
23-11-2005, 00:40
Cube root of 1000000? +100
Nureonia
23-11-2005, 00:40
However, the answer of 1000 would be correct sort of. In truth, your question was impossible to answer. Because you are being picky bout +/-, I will be picky now. you asked for what NUMBER. Yes, singular, number, not numbers. So, technically, the answer cannot be +/- 1000, because those are two seperate numbers.

O SNAP

(No, I don't have anything valid to contribute.) :D
Damor
23-11-2005, 00:42
Your answer is only correct if you are an engineer. There is also the negative root that the mathematicians like to see. Mostly the negative root doesn't matter or is part of a trivial solution, but as we all know mathematicians are experts on trivia.
if x^2 = a, then x = +/- sqrt(a) Which is what most mathematicians would make of it (except they'd use the symbol where I put 'sqrt', because I can't get that here).
If square root inherently already had the multi valued nature, there would be little point of putting a +/- in front of it. Mathematicians hate inefficiency.
Odinsvrede
23-11-2005, 00:43
Or 'j', depending on what class you're taking.


Now I'm super confused.
But thankyou all the same. ^_^
Happy iguanas
23-11-2005, 00:45
Shienna, you can't be sure. When a number is under the radical sign, and only then, can you assume the principal root. If the number is in a case like 1000000 = x^2, and only if that, can you assume that it could be either root. x = +/- 1000. You don't know which one he is asking about, do you?
Vox Augusti
23-11-2005, 00:46
Taking the square root, is taking the second root of a number, and the cube root is the third root, etc.

When you take the nth root of a number, there are n solutions, so with a square root, there are always 2 solutions, the cube root has 3 solutions, etc.

The math changes directions when you deal with roots of negative numbers, and it can be said that all roots of 0 are simply 0, since +0 = -0 = 0i etc.

The question would have been more accurate to ask what are the square roots of 1 million, but then it wouldn't have been any fun.
Damor
23-11-2005, 00:48
Shienna, you can't be sure. When a number is under the radical sign, and only then, can you assume the principal root. If the number is in a case like 1000000 = x^2, and only if that, can you assume that it could be either root. x = +/- 1000. You don't know which one he is asking about, do you?He asked for the square root, not a square root nor the square roots.

the square root implies the principle root.
Myrmidonisia
23-11-2005, 00:54
Now I'm super confused.
But thankyou all the same. ^_^
In electrical theory, 'j' usually represents the complex part of the number because 'i' already represents current.
Damor
23-11-2005, 00:57
In electrical theory, 'j' usually represents the complex part of the number because 'i' already represents current.I though they use I for the current.
Though I suppose that doesn't eleviate the confusion much.
Uber Awesome
23-11-2005, 00:58
That's the one real solution, but there are two more complex solutions. (Which is probably a mean thing to ask for)

I could probably work it out by trial and error, but I can't be bothered.
Argesia
23-11-2005, 00:59
You people are still on this?
Uber Awesome
23-11-2005, 01:03
You people are still on this?

No, you're hallucinating.
Damor
23-11-2005, 01:05
I could probably work it out by trial and error, but I can't be bothered.The easiest way is just to use powers of e
100*e^(0/3*i)=100, 100*e^(1/3*i), 100*e^(2/3*i)

I mean it's nice to write complex numbers as a+b*i, but I can't be bothered to any more than you :p
Uber Awesome
23-11-2005, 01:08
The easiest way is just to use powers of e
100*e^(0/3*i)=100, 100*e^(1/3*i), 100*e^(2/3*i)

I mean it's nice to write complex numbers as a+b*i, but I can't be bothered to any more than you :p

Using e to work out cube roots is beyond my mathematical knowledge (well, using anything other than trial and error to work out roots is really).
Stoo_Pot
23-11-2005, 01:11
1000 or -1000

p.s. the square root of -1 is usually defined as 'i'
Pure Metal
23-11-2005, 01:12
*snatches biscuit*

maths sucks yo ;)
Uber Awesome
23-11-2005, 01:19
*snatches biscuit*

maths sucks yo ;)

Thankfully, the suckiness of maths is a subjective quality. I wouldn't want to be on an aeroplane designed by someone who thought maths sucks.
Myrmidonisia
23-11-2005, 01:53
I though they use I for the current.
Though I suppose that doesn't eleviate the confusion much.
[geek-mode]
I guess it's kind of splitting hairs, but I, and textbooks I've used, use I as the current amplitude in a periodic function and i as the instantaneous value, as in i = I sin(wt). That makes it easier to keep the two separate when you differentiate or integrate different functions. Certainly for high school and for introductory college physics, I is fine.
[/geek-mode]
Iztatepopotla
23-11-2005, 01:58
1000000 has a square root? When I was in school it just had a little growth. Science sure moves fast!
Lionstone
23-11-2005, 02:34
1000000 has a square root? When I was in school it just had a little growth. Science sure moves fast!

I belive it is compulsary to say....


Heheheheehehehehehe, little growth *immature snigger*
Zorpbuggery
23-11-2005, 11:58
6 zeros, 3 for each power as it's squared, 10x10^3, 1000. Easy.
Pure Metal
23-11-2005, 12:28
Thankfully, the suckiness of maths is a subjective quality. I wouldn't want to be on an aeroplane designed by someone who thought maths sucks.
oh i was just kidding... maths is useful and great, forming the tools for so many sciences and practically everything in modern life, technology, engineering, etc... i'm just bitter about my experiences learning - or attempting to learn - calculus at uni :(

i suck at maths. don't even know my times tables :(
but thats attributed to dyslexia/dyscalculia, so meh who cares - i can use a calculator just fine :p