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Mathematics 8 Online
OpenStudy (anonymous):

Algebra ll math question please help!:

OpenStudy (anonymous):

OpenStudy (anonymous):

It is something about rationalizing the denominator?

OpenStudy (anonymous):

@amistre64 Do you know how to solve this?

OpenStudy (anonymous):

I kind of know how to solve it but its the negative square root of 36 that I do not know

OpenStudy (amistre64):

yes i do add the like terms and use a conjugate to get rid of th ei part in the bottom

OpenStudy (amistre64):

sqrt(-36) = sqrt(-1*36) = sqrt(36) sqrt(-1)

OpenStudy (anonymous):

Yeah, and then I multiply the conjugate on the top and bottem right?

OpenStudy (amistre64):

yep

OpenStudy (anonymous):

So (2-3i)+ (2+3i)= 6-i?

OpenStudy (anonymous):

And then the conjugate would be 6+i

OpenStudy (amistre64):

\[\frac{ci}{a+bi}\] \[\frac{ci(a-bi)}{(a+bi)(a-bi)}\] \[\frac{(ac) i -(bc)i^2}{a^2+b^2}\]

OpenStudy (anonymous):

So then I would use sqrt(36) sqrt(-1) times 6+i?

OpenStudy (amistre64):

adding like terms i would say we have 5 - i, which conjugates to 5+i

OpenStudy (anonymous):

Oh ok

OpenStudy (anonymous):

So then 5+i/5+i times sqrt(36) sqrt(-1)/ 5-i?

OpenStudy (amistre64):

so, a = 5, b=-1, c=6 and recall that i^2 = -1

OpenStudy (amistre64):

\[\frac{(ac) i -(bc)i^2}{a^2+b^2}\] \[\frac{6(5)i -6(-1)(-1)}{(5)^2+(-1)^2}\]

OpenStudy (anonymous):

Ok so I solve using that equation?

OpenStudy (amistre64):

you dont have to, but if my generality doesnt have any errors in it we can shk

OpenStudy (anonymous):

generality?

OpenStudy (amistre64):

30i - 6 ------ 26 we have alot of evens so divide out a 2 15i - 3 ------ 13

OpenStudy (amistre64):

yeah the abc parts are just a generalization which allows us to simply use it as a formula

OpenStudy (anonymous):

Ah k

OpenStudy (anonymous):

So what next after 15i-3/13?

OpenStudy (amistre64):

see which option is the correc tone of course

OpenStudy (anonymous):

Oh wait

OpenStudy (anonymous):

Thats one of the answers!

OpenStudy (anonymous):

So the answer is b?

OpenStudy (amistre64):

i see no letters for options, but the second on the list is fine

OpenStudy (anonymous):

Ok thanks so much!

OpenStudy (amistre64):

a generality allows us to use properties without having to deal with values, and alot of times makes th eprocess simpler since the end result represents a formula

OpenStudy (amistre64):

good luck

OpenStudy (anonymous):

Ty! You too in anything your doing!

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