Simplifying (√18 + √12) / (√8 - √96) in terms of p and q

[Gughanath]

p = root 2 q = root 3
(root 18 + root 12) / (root 8 - root 96) , write this in terms of p and q in its simplest form. I keep getting the wrong answer, please help!

 

[Nylex]

Post your working, so people can show you where you've gone wrong.

 

[dextercioby]

Do you know how to decompose natural numbers into prime factors...??

Daniel.

 

[Gughanath]

Do you know how to decompose natural numbers into prime factors...??

Daniel.

yes, but i don't end up with the answer i was meant to!

 

[dextercioby]

Why not?
$$\sqrt{18}=3\sqrt{2}=3p$$

Can u handle the other ones...?

Daniel.

 

[The Bob]

p = root 2 q = root 3
(root 18 + root 12) / (root 8 - root 96) , write this in terms of p and q in its simplest form. I keep getting the wrong answer, please help!

$$p = \sqrt{2}$$ , $$q = \sqrt{3}$$

$$\frac{(\sqrt{18} + \sqrt{12})}{(\sqrt{8} - \sqrt{96})}$$

Personally I just try to make the numbers with the smallest number of terms possible.

E.g. $$\sqrt{18} = \sqrt{3 \times 3 \times 2} = pqq$$ or $$p2q$$ or $$\sqrt{18} = 3 \sqrt{2} = 3p$$

The Bob (2004 ©)

 

[HallsofIvy]

You have twice said you "keep getting the wrong answer". Tell us what wrong answers you get and how you are trying to do the problem!