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bobbym
2013-11-18 20:41:26

Hi;

I do not see the figure.

EbenezerSon
2013-11-18 19:26:59

Hi, bobym.

Look the link you provided at page 4 concerning the square roots signs.
It says so:

When two numbers are multiplied within a square root, you can split it into a multiplication of two square roots.
But only when X and Y are both greater than or equal to 0.
My question is:

Which figure is equal to zero before  the splitting will be possible?

bobbym
2013-11-16 13:34:56

I repeated it because of this:

But when 9 is in a square root sign it gives two answers i.e -3 and 3.

I wanted him to be sure that the answer is only 3. 1 answer not 2.

anonimnystefy
2013-11-16 12:54:31

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

bobbym
2013-11-16 05:57:57

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

anonimnystefy
2013-11-16 05:55:46

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

bobbym
2013-11-16 05:41:25

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

anonimnystefy
2013-11-16 05:36:30

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

bobbym
2013-11-16 05:34:17

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

anonimnystefy
2013-11-16 05:25:22

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.

bobbym
2013-11-16 02:56:02

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

EbenezerSon
2013-11-16 02:52:23

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?

bobbym
2013-11-16 02:14:25

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.

EbenezerSon
2013-11-16 02:10:06

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

bobbym
2013-11-16 01:58:40

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

√(-3) is complex or imaginary.