Melody

Doing it by binomial expansion I get.

$$x^3+3x^2\times 8+3x\times 8^2+8^3\\

=x^3+24x^2+192x+512$$

I haven't checked but I if I didn't make a stupid mistake that is correct.

Good one Ninja,

Congratulations on making it to the Top Answerers board too.

Division is the least understood of the 4 basic operations ( + - x ÷ )

Whenever you get a problem with yucky numbers, try replacing those numbers with something more understandable.

so in this case you could change the question to 

A math textbook is 2cm in thick. How many of these books will for in 10cm in shelf?

2+2+2+2+2=10 so the answer is 5  umm  

10÷2=5  There you go, I had to use divide.

-------------------------------- ALSO-----------------------

You really need to know how many  $$1\frac{3}{8}$$   cm books will go into a 33cm shelf.  See 'will go into' is also a big clue.  It screams Divide!

$$33\div 1\frac{3}{8} = \frac{33}{1}\div \frac{11}{8}=
\frac{33}{1}\times \frac{8}{11}=3\times 8=24$$ 

24 books just like CPhill got.

Thanks Chris.

I have always done it 'China's' method (and I am Australian)

A dot above the first to repeat and a dot above the last to repeat.

That is assuming it is a regular pentagonal prism.

Otherwise you would have to do each side separately.

$$\frac{1}{3}=0.\dot3$$

This is read as 0.3 repeater OR  0.3 recurring.

The dot means that the 3 repeats for ever!

(Ninja, you said a line, I've never seen that before, I've only ever seen a dot used.)

thanks Ninja

That is only an approximation. 

sqrt(95) is an irrational number and cannot be represented exactly with digits.

answer

$$\sqrt{95}=\sqrt{95}$$

What if KOOL-AID is an Aussie.  Can he use it then?  (Im assuming he - correct me if i am wrong please)

Rosala, this mith be a good one for you to learn from.  Start with mine before moving to Chris's.