Question

I have the answer but everytime I put it online it doesn't work!

Answer 1

\[\frac{ 5\sqrt{3}+\sqrt{2} }{ 6\sqrt{3} -\sqrt{2}}\]

Answer 2

Thats the question!

Answer 3

\[\frac{5\sqrt{3}+\sqrt{2}}{6\sqrt{3}-\sqrt{2}}\times \frac{6\sqrt{3}+\sqrt{2}}{6\sqrt{3}+\sqrt{2}}\]

Answer 4

that's the first step. It is called "rationalizing the denominator"

Answer 5

now, just multiply and simplify

Answer 6

Does that make sense?

Answer 7

Yeah I did that but I got the answer \[\frac{ 46+11\sqrt{6} }{ 53 }\]

Answer 8

It says its wrong?

Answer 9

hold on...

Answer 10

\[\frac{30\sqrt{9}+\sqrt{4}}{36\sqrt{9}-\sqrt{4}}\]
\[\frac{30(3)+2}{36(3)-2}\]

Answer 11

Does that clear some things up?

Answer 12

How did you get the answer you got...? 0.o

Answer 13

You did something wrong though b/c you were suppose to foil it

Answer 14

I'm afraid that StudyGurl is correct on this one...

Answer 15

But how though?

Answer 16

Because the way she did it actually made sense? She explained her answer; why don't you?

Answer 17

I find that going back and checking your work helps about 70% of the time...

Answer 18

Well the 30% part didn't work and I did explain my answer I foiled everything combined like term and got that answer. If you actually read through what I was saying then you'd see it -_-

Answer 19

your computation is wrong that's way the answer was wrong
However what the study above did was also incorrect

Answer 20

why*

Answer 21

Oh, shoot, okay, I see. Try redoing what you did using a calculator @shortyyshayy

Answer 22

you started good! but then you missed the calculations somewhere
i just did it and the result is different than what you have found

Answer 23

Alright I am going to try again and put my step by step calculations on here then to see what went wrong

Answer 24

Good plan @shortyyshayy
Also thank you @xapproachesinfinity , i totally got this wrong >.<

Answer 25

So I did the conjugates of the denominator and multiped by the top and bottom. The top part I got 30 square root of 9 + 5 square root 6 + 6 square root 6 + square root 4
and denominator I got 36 sqaure root 9 - sqaure root 4 then simplifying it down I got 92 +11sqaure root 6 all over 106 and reduced would be the answer I intially recived.

Answer 26

Sorry for spelling errors!

Answer 27

@xapproachesinfinity

Answer 28

that is a good answer

Answer 29

you can't really go further than that