What do I with this?

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- anonymous

What do I with this?

- chestercat

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- anonymous

\[\sqrt{1/3}\]

- anonymous

What do I do with this?

- amistre64

its fine the way it is; or we can move things around to make it "look" different but still have the same value..

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## More answers

- anonymous

i want to simplify it but it's already done

- amistre64

most textbooks will want you to make it in the form:
sqrt(3)/3

- anonymous

\[\sqrt{1/3}\] \[\times\] \[\sqrt{3/3}\] = \[\sqrt{3}\]/3

- amistre64

that radical sign can be split so that it is over each number individually like this:
sqrt(1)
------
sqrt(3)

- anonymous

amistre is right...

- amistre64

sqrt(1) = 1
------
sqrt(3) = sqrt(3)
now most textbooxs HATE to have a radical in the bottom of a fraction so they work on it some more..

- amistre64

we multiply this fraction by a convient form of (1); because anything times (1) equals itself.
Lets use sqrt(3)/sqrt(3)
1 sqrt(3) sqrt(3)
------ (x) ------ (=) --------
sqrt(3) sqrt(3) 3

- anonymous

heres the problem
\[2\sqrt{3}+\sqrt{27}-\sqrt{1/3}\]
so I simplified it to
2*1.7+5.2-1.7

- amistre64

ahhhh, then we need all like "radicals" to act like variables:
lets change sqrt(27) to look into something that has a sqrt(3) attached to it:
do you know how?

- anonymous

no

- amistre64

lets see if we can find some numbers that will help us out with that "27"
We should know by now that 3 times 9 = 27:
3(9) = 27
also:
3*3*3 = 27
Do you know how to use this knowledge to your advantage?

- anonymous

the solution is:
2 sqrt 3 + 3 sqrt 3 - sqrt 3/3
time it to 3
=6 sqrt 3 + 9 sqrt 3 - sqrt 3
=14 sqrt 3
thats the answer

- amistre64

tian: very good :)

- amistre64

JAPAN: what can we do to:
sqrt(3*3*3) to make it look like ___ sqrt(3)? Do you know?

- anonymous

@amistre thanks but Ur answer is more complete...:-)

- anonymous

so \[3\sqrt{3}\]?

- amistre64

Yes, that is correct. But it is important that you understand HOW you got it. Which if you already know, then great :)

- anonymous

three 3's multiplied together equal 27 which is how we simplify it

- amistre64

yes, and what alloed us to pull that "3" out from under the radical? Do you know?

- amistre64

**allowed

- amistre64

3*3 = 9 means:
3^2 = 9 we also know that the sqrt(9) = 3 if we put these facts together, we notice a rule or pattern:
sqrt(9) = sqrt(3^2) = 3
What allowe us to turn sqrt(3*3*3) into 3sqrt(3) is this "rule"
sqrt(3^2 3) = sqrt(3^2) sqrt(3) = 3sqrt(3)
Does that make sense?

- anonymous

yes

- amistre64

Once you know that, the rest is pretty simple.
So your equation becomes:
2 sqrt(3) + 3 sqrt(3) - (1/3) sqrt(3)
We can add all these together now and treat that "sqrt(3)" as tho it was a normal variable like "x" or "y".
Does that make sense?

- anonymous

yes thank you

- amistre64

youre welcome :)

- radar

the solution is: 2 sqrt 3 + 3 sqrt 3 - sqrt 3/3 time it to 3 =6 sqrt 3 + 9 sqrt 3 - sqrt 3 =14 sqrt 3 thats the answer
This answer omitted the denominator for the last term, the answer at the end of the posts was the correct "final" answer

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