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#76 2013-08-11 10:09:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Sometimes you might call t =0 today for instance. You could run the equation back to t=-3. That would be 3 days ago. The variable can take negative values.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#77 2013-11-13 21:53:01

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Is a member trying to indicate that a  number in a principal square root must have only one answer?
For instance, if 9 is in a principal square root, must it have only one answer 3?

If I am getting him wrong please correct.

Thanks.

How do you do Bobbym?


I know only one thing - that is that I know nothing

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#78 2013-11-13 22:15:40

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

The fellow's post is at #38.

What is the subtle difference between, a square root and a principal square root?

Thanks.


I know only one thing - that is that I know nothing

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#79 2013-11-14 03:45:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Hi;

The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both -3 and 3 are square roots of 9.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#80 2013-11-14 20:40:07

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

So if I am grasping it now, the principal square of a number produces only positive number.

Therefore, the principal square root  always infers a positive number.
Am I right?

Please confirm.


I know only one thing - that is that I know nothing

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#81 2013-11-14 20:49:49

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Hi,

Please produce both the principal and the square root signs. So I will know thew properly


I know only one thing - that is that I know nothing

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#82 2013-11-14 20:50:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Therefore, the principal square root  always infers a positive number.

I would say yes.

http://www.mathsisfun.com/algebra/square-root.html


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#83 2013-11-14 21:33:04

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Hi,

I have browsed the link you provided, but couldn't distinguish the principal square root sign from the square root sign.

Some help.


I know only one thing - that is that I know nothing

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#84 2013-11-14 21:39:03

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Change your subject.

The square root sign

is usually used to indicate the principle square root of a number.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#85 2013-11-15 02:10:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Hi;

Yep, that means positive root only.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#86 2013-11-15 02:38:34

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Okay, what name do we give to a negative square root of a number? Since the positive root number has a name.

Thanks in advance.


I know only one thing - that is that I know nothing

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#87 2013-11-15 02:44:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

They are called complex or imaginary numbers.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#88 2013-11-15 02:55:59

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Okay, finally finally.
If I am getting
the whole thing, The square root of 9 is 3 and -3.
the 3 is the prıncipal square root whereas the negative square root -3 is complex or imaginary square root, am I correct?
Please confirm.


I know only one thing - that is that I know nothing

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#89 2013-11-15 02:58:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Both 3 and -3 when squared are 9. But only 3 is the principal square root.

√(-3) is complex or imaginary.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#90 2013-11-15 03:10:06

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Please do you have an idea as to why it is called complex or imaginary?


I know only one thing - that is that I know nothing

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#91 2013-11-15 03:14:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

It was called imaginary because in the beginning when the concept of the root of a negative number was proposed most mathematicians did not like it. They called them imaginary numbers to sort of poke fun at the whole idea. Later, as it caught on, complex numbers was name given for them.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#92 2013-11-15 03:52:23

EbenezerSon
Member
Registered: 2013-07-04
Posts: 456

Re: Change your subject.

Thanks for that!

But when 9 is in a square root sign it gives two answers i.e -3 and 3.
if the positive number is the principal square root what name is also given to the -3?


I know only one thing - that is that I know nothing

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#93 2013-11-15 03:56:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

When 9 is in the square root sign that means principal square root, just the 3.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#94 2013-11-15 06:25:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Change your subject.

He is asking this:"If we call 3 the principal square root of 9, then what kind of square root of 9 is -3?". The answer is that there is no name given to it.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#95 2013-11-15 06:34:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

We could say it is the root of the equation x^2 - 9 = 0.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#96 2013-11-15 06:36:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Change your subject.

We could, but, there is still no special name for non-principal roots.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#97 2013-11-15 06:41:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Everything you are saying is true but you are missing the point of my post #93 which essentially makes your post #94 non - essential.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#98 2013-11-15 06:55:46

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Change your subject.

Actually, #94 is me feeling you have not understood the question.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#99 2013-11-15 06:57:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Change your subject.

Nope, I was dealing with a far more important concept and did not answer that question. Do you see it now?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#100 2013-11-15 13:54:31

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Change your subject.

But, what you said in #93 was already told and did not need repeating.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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