# Thread: How can I simplify this a step further?

1. ## How can I simplify this a step further?

I was supposed to simplify this:

6+ √2
_____
3-
√2

I multiplied both the top and bottom by the conjugate of the denominator and got:

18+9
√2+√4
________
9-
√4

What would I need to do to simplify that a step further? It doesn't seem completely simplified?

EDIT: I THINK I MESSED UP ON THE BOTTOM HALF.

I think my final answer should actually be:

18+9√2+√4
_________
7

Is that right?

2. Originally Posted by deathtolife04
EDIT: I THINK I MESSED UP ON THE BOTTOM HALF.

I think my final answer should actually be:

[/SIZE] 18+9√2+√4
_________
7

Is that right?
Yes but it can be simplified a bit more as you still have a √4

3. Originally Posted by Glaysher
Yes but it can be simplified a bit more as you still have a √4
OOH, DUH!

so, 20+9√2
________
7

4. Originally Posted by deathtolife04
I think my final answer should actually be:

18+9√2+√4
_________
7

Remember, expressions like $\frac a{\sqrt x-\sqrt y}$ are fully simplified, multiplying (numerator and denominator) by the conjugated expression of the denominator.

5. Originally Posted by Krizalid

Remember, expressions like $\frac a{\sqrt x-\sqrt y}$ are fully simplified, multiplying (numerator and denominator) by the conjugated expression of the denominator.

?? did you see my new answer?

or did i miss something again?

6. Yes, I did.

The means that is okay.

7. Originally Posted by Krizalid
Yes, I did.

The means that is okay.

OOOH ok
haha thanks ;-)