I don't understand this...

Thank you for showing me proper notation, Melody. I really wanted to do it properly, but I couldn't figure out how to put a square root around the numbers.

Thank you for explaining operators, CPhil. We haven't gotten that far in math (Algebra I) and I really appreciate you taking time to explain it to me.

If the rule is :  √(A) + B   (with only A under the square root sign):

Work from the inside out:    16⊗9  becomes  √(16) + 9  =  4 + 9  =  13

Then, you have  25⊗13  =  √(25) + 13  =  5 + 13  =  18

I see what you're saying...but how do I know when to transfer √(A)+B to 25 Ⓧ (16 Ⓧ 9)?

Is it when I see the Ⓧ, because Ⓧ means + and the operation before + in the equation is √?

Whenever you want to replace the ⊗ operation with its answer.

If you have the symbol x in any expression, you replace the x symbol with its answer. For instance, when the expression is 4 + 6 x 5, you simplify it by replaceing 6 x 5 with 30, giving you 4 + 30, which is 34.

So, if you have the expression 4 + (49 ⊗ 2 ), you calculate 49 ⊗ 7 to be √49 + 2 = 7 + 2 = 9.

Then, you have 4 + 9  =  13.

Hi Mathematician,

I am really confused by your notation.  I am sure I could work it out if I wanted to badly enough, it seems that Geno has done so, but instead I would like to help you to learn how to present your question properly.  

Method 1:  You can use the "Math Formula" button above.  Open that up and type

sqrt(25)+(sqrt(16)+9)     I am guessing but maybe this is what you want.  

I shall do it and show you what you should get.

$${\sqrt{{\mathtt{25}}}}{\mathtt{\,\small\textbf+\,}}\left({\sqrt{{\mathtt{16}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}\right)$$       There you go - is that what you wanted?

Method 2:  Open up  LaTex by pressing the LaTex Formula button above. and type

\sqrt{25}+(\sqrt{16}+9)

I shall show you the output

$$\sqrt{25}+(\sqrt{16}+9)$$

------------------------------------------------------------------

Method 1 is the easiest to learn but it would be good if you start learning LaTex because it is much more versatile.

The answer as Gino has shown you is  5+(4+9)=5+13=18

I think the operator Ⓧ is what has you confused......it simply means that we want to take the square root of the thing in front of the symbol and add it to the thing after the symbol......

So we have

25 Ⓧ ( 16 Ⓧ 9) =  note that  we could consider this to be C Ⓧ D   where  "D" =  A Ⓧ B. And since A Ⓧ B is in parentheses, just like "regular" math, we want to evaluate that first !!!

25 Ⓧ (4 + 9) =

25 Ⓧ 13  ...so now, we want to evaluate C Ⓧ D

5 + 13 =

18

Just like geno found !!!!

Yes yes Chris

I was really just suggesting that we do not need to invent symbols.

It was a good idea for mathematician to do it in  this instance but it is good to learn how to present things correctly.

That is all I wa trying to convey :))

Sorry, Melody...the "you" I was referring to was "Mathematician"........I should have been more specific.....

You're welcome.....(I actually have a hard time with some of this notation stuff, too.....much of it seems more mysterious than it really is......LOL!!!!)

I was not upset Chris.  You must know that.  It would take a lot more than that to upset me :))

Mathematician, I am really keen to teach people to use LaTex properly.  

It is fairly easy to learn - just use new things a little at a time.

If you want to ask how to do something I am keen to show you.  :)) 

There  is also a thread on LaTex coding in the sticky notes.

It is a bit hickely pickely so you can just ask if you want.  :)))