Question

What do I with this?

Answer 1

\[\sqrt{1/3}\]

Answer 2

What do I do with this?

Answer 3

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

Answer 4

i want to simplify it but it's already done

Answer 5

most textbooks will want you to make it in the form:

sqrt(3)/3

Answer 6

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

Answer 7

that radical sign can be split so that it is over each number individually like this:

sqrt(1)
------
sqrt(3)

Answer 8

amistre is right...

Answer 9

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..

Answer 10

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

Answer 11

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

Answer 12

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?

Answer 13

no

Answer 14

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?

Answer 15

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

Answer 16

tian: very good :)

Answer 17

JAPAN: what can we do to:

sqrt(3*3*3) to make it look like ___ sqrt(3)? Do you know?

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

**allowed

Answer 24

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?

Answer 25

yes

Answer 26

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?

Answer 27

yes thank you

Answer 28

youre welcome :)

Answer 29

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