Melody

I don't understand what the question is  

You need to show some working ProxyGOd.

Otherwise how can the asker learn anything AND how can a moderator easily check your answer?

I would think that when you write it by hand it is automatically written as a fraction.

So it is clear what is on the bottom and what is on the top.

When you do a keyboard entry like you did that visual clarity has gone and you have to spell out exactly what you mean with brackets.

This is your one

  = √5+√6/ (√5)^2 - (√6)^2  =  $${\sqrt{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\sqrt{{\mathtt{6}}}}}{{{\sqrt{{\mathtt{5}}}}}^{\,{\mathtt{2}}}}}{\mathtt{\,-\,}}{{\sqrt{{\mathtt{6}}}}}^{\,{\mathtt{2}}}$$

Now I am going to do the other one with latex because I can make it look EXACTLY like it should look when  you write it by hand.  (I am not expecting you to care about the LaTex)

This is what it should be

= (√5+√6)/( (√5)^2 - (√6)^2)      =       $$\frac{\sqrt5+\sqrt6}{\sqrt5^2-\sqrt6^2}$$

See, if you want all that first stuff on the top AND all that second lot of stuff on the bottom

THEN you need to show this with the brackets!

REMEMBER:     PEDMAS    

If there are no brackets then you MUST do the division BEFORE you do the addition or the subtraction.  

That is why you need the brackets.    

Yes Zac and Rosala, that is the only sensible attitude to take. :)

Any other attitude would be destructive to you. :/

I DID NOT USE ANY LATEX THERE ROSALA!

I DID IT WITH THE MATHS FORMULA INPUT BUTTON WHICH IS MUCH EASIER TO LEARN!

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You solved the problem correctly but you needeD more brackets.

You wrote.

= √5+√6/ (√5)^2 - (√6)^2

this means

= √5+√6/ (√5)^2 - (√6)^2  =     $${\sqrt{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\sqrt{{\mathtt{6}}}}}{{{\sqrt{{\mathtt{5}}}}}^{\,{\mathtt{2}}}}}{\mathtt{\,-\,}}{{\sqrt{{\mathtt{6}}}}}^{\,{\mathtt{2}}}$$

Whereas what you meant was

= (√5+√6)/( (√5)^2 - (√6)^2)      =    $${\frac{\left({\sqrt{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{6}}}}\right)}{\left({{\sqrt{{\mathtt{5}}}}}^{\,{\mathtt{2}}}{\mathtt{\,-\,}}{{\sqrt{{\mathtt{6}}}}}^{\,{\mathtt{2}}}\right)}}$$

SEE - YOU NEEDED MORE BRACKETS!     

That is better Rosala but both you and Zac need more brackets on the denominator :/

And

 you need more on the numerator as well Rosala.

e.g.

= √5+√6/ (√5)^2 - (√6)^2

should be      = (√5+√6)/ ((√5)^2 - (√6)^2)

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 I think that you can lay this out much more nicely using the Maths formula button.

 (I would use LaTex but it is slightly more difficult to learn)

lets see.

Here is a line that I copied off Rosala

1/(√5 -√6) x (√5 + √6)/(√5+√6)

I will try entering it like this

1/(sqrt(5)-sqrt(6))*((sqrt(5)+sqrt(6)/(sqrt(5)-sqrt(6)))

Mathematically speaking the blue brackets are not needed.  

They just make it present better using the [Maths Formula] input button

$${\frac{{\mathtt{1}}}{\left({\sqrt{{\mathtt{5}}}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{6}}}}\right)}}{\mathtt{\,\times\,}}\left({\frac{\left({\sqrt{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{6}}}}\right)}{\left({\sqrt{{\mathtt{5}}}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{6}}}}\right)}}\right)$$

you both gave it a good shot though.  3 points each       (I hope that you get to keep them )   

Thanks Rosala but $$\sqrt5-\sqrt6$$   already has a rational denominator.  It is one!

$$\sqrt5-\sqrt6=\frac{\sqrt5-\sqrt6}{1}$$

I just looked at the board - I think Chris and I just lost over 10000 points each since I logged into the forum this session.  You just have to see the funny side and wait for it all to settle back down again.  Nope i just gained 6000 back while I was writing this.  I'll probably be zero next time I look and you will be in my spot  LOL :))

Well Zac, I hope you get all yours back because your answers are always excellent and your points were well earned :/    I don't know why you are on zero - that is absurd!  

I was double pointing you a fair bit because your answers were so good (I can only give 3 but if CPhilll has already given 3 then that means you get 6), maybe admin is trialling a system where you can only get a maximum number of points per post or something ?

Last time we had a forum shakeup the points were all over the place for a very long time.  They changed by the hour.  It got to the point where people stopped taking them so seriously and started just thinking the whole thing was funny.  Admin is probably just going to trial new point systems for a while till he finds one that he likes.  I think last time most peole were not too upset with the points they ultimately ended up with :/

Hi MG

It is easier and better jsut to say

15% of 40 = 15/100 * 40 = 15/10*4 = 60/10 = 6

Of course it is even easier if you use a calc.