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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
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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
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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?
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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?
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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
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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!
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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