#1
I have this question that i'm not understanding at all. Its simplification of a radical expression.

Solve:

2/3-√2

HELP GUYS!
#2
-2.66?
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#3
negative .7475468957

but it can't be simplified
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Last edited by B. Heath at Sep 2, 2008,
#9
well simplify the root 2 ant ake it away from 2/3
duh
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#11
i'm still sticking with my original answer, but i would also not worry about simplifing it in the first place because there isnt but so much you can do with that one
#12
Quote by B. Heath
negative .7475468957



this

EDIT:

nvm it is simplified
the only other thing u could do is put a -/+ sign in front of the radical
Last edited by Frontbassman at Sep 2, 2008,
#13
I'm pretty sure that's as simplified as it can get because 2/3 can't be reduced and √2 can't be reduced either.
#14
If I'm reading your math prob right you are supposed to find 2/3 - the square root of 2.

Well the square root of 2 is 1.41421356 and then some because it is an irrational number and therefore goes on forever. any way 2/3 - 1.414 = -0.747546896.

Hope that helps and I have no guarantees
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#15
Quote by _Sleepwalker_
I'm pretty sure that's as simplified as it can get because 2/3 can't be reduced and √2 can't be reduced either.

this is what i thought too..
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#16
put them on the same ( sorry im french speakin ) number under the bar in the fraction like multiply the root 2 by 3 and put it on 3 ya know ??
#17
i figured it out. our instructions were to simplify each one.

the correct answer was solved in this way:

1. 2/3-√2
2. rationalize bottom, so you end up with 2(3+2√2)/3+√2
3. multiply the 2 together and you get 6+2√2/9-2
4. simplifies to 2+2√2/3-2


5. final answer: 2+2√2

thanks guys, but figured it on my own anyhow :P
#18
Shit I need to know this for the next few weeks.

Damn I got -6.
Maybe I'm just not understanding how it's typed out. I suck at math on computers.
#19
2/3-√2

okay 2/3 - sqrt2

2 - 3 * sqrt 2
___________

3


that's your answer

(2 - 3sqrt2)/3
#21
Quote by highroller540
i figured it out. our instructions were to simplify each one.

the correct answer was solved in this way:

1. 2/3-√2
2. rationalize bottom, so you end up with 2(3+2√2)/3+√2
3. multiply the 2 together and you get 6+2√2/9-2
4. simplifies to 2+2√2/3-2


5. final answer: 2+2√2

thanks guys, but figured it on my own anyhow :P


Hmmm...not sure if I'm following you right. But I do know this

2/3-√2 is not equal to 2+2√2

I'm certain of that
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#22
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42

that's the meaning of life.
not the answer to his question.
#23
multiply root 2 by 3/3. simplified it equals 2-3root2.

Idk how to type the square root sign.
its 1:56 am and i just ate 6 chocolate chip cookies in not even near as many minutes
#24
Quote by Ash on fires
multiply root 2 by 3/3. simplified it equals 2-3root2.

Idk how to type the square root sign.

hey come on that's what i said like last page, and i didn't get any credit.

He's right. I'm right. We're both right.

The answer is....

( 2 - 3 * sqrt(2) ) / 3

just put it down.
#25
Quote by geetarguy13
The answer is....

( 2 - 3 * sqrt(2) ) / 3

just put it down.


I got that ^ but out of curiosity, i tried to see if i could get the root to cancel itself out somehow....

I keep getting -2/3

I take the 2/3 - root2
multiply root2 * root2/root2 = 2/root2
so 2/3 - 2/root2
a little 5th grade fraction work spits out
2*root2/3*root2 - 6/3*root2
or
2*root2 - 6 / 3*root2
if this ^ is true, you cancel out the square roots leaving
-2/3

but it can't be this simple... am i doing something wrong?
i mean i know for a fact square root of 2 is not equal to 4/3....
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+1
#26
if ya mean 2/3-√2 then its simplified (the 2 is not over the -√2)

or if ya mean 2/(3-√2) then you multiply the top and bottom by (3+√2)

so ya get 2(3+√2)/(3-√2)(3+√2)
simpified its...

2(3+√2)/7

just finished the summer precalc hw that was about this stuff..
#27
Dude dude arent you guys like just worsening the sum...

It seems to be simplified to the max with 2/3- rt2

Maybe 2- 3rt2

But all these fractions you guys are getting are just less simplified
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