Mathematics
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OpenStudy (anonymous):
What is the conjugate of the square root of -15 ?
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OpenStudy (anonymous):
I think I know the answer, but if someone could explain it to me that would be awesome
:)
jhonyy9 (jhonyy9):
so when there is a+ib so the conjugate of this is a-ib --- i think
OpenStudy (anonymous):
Well, I need to know if the answer is going to be the square root of -15i is 15i ?
OpenStudy (anonymous):
as the conjugate
jhonyy9 (jhonyy9):
but there is just sqrt(-15)
yes ?
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OpenStudy (anonymous):
yes, and that turns into the square root of 15i
OpenStudy (anonymous):
right?
jhonyy9 (jhonyy9):
no
jhonyy9 (jhonyy9):
sqrt(-15)= isqrt15
OpenStudy (anonymous):
I don;t understand, would the negative qualify it to need an i ?
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jhonyy9 (jhonyy9):
yes but i squared equal -1
OpenStudy (anonymous):
Can you do that before finding the conjugate? I would understand if you did that afterwards.
jhonyy9 (jhonyy9):
ok
jhonyy9 (jhonyy9):
so sqrt(-15)= isqrt15
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
When would you know to use an i in an equation?
jhonyy9 (jhonyy9):
when there is sqrt of one negativ number
jhonyy9 (jhonyy9):
for example sqrt(-9)=3i
OpenStudy (anonymous):
Okay. So because you'd have to multiply the conjugate and the original equation together you'd change the i squared into a -1 and distribute?
OpenStudy (anonymous):
or do you even need to think about the i at all?
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jhonyy9 (jhonyy9):
write me please one example how do you think this ?
OpenStudy (anonymous):
Okay.
For example, find the conjugate of the square root of -25.
My first step would be to change the negative into an i
OpenStudy (anonymous):
and then get the conjugate
jhonyy9 (jhonyy9):
yes and will be ???
OpenStudy (anonymous):
-25i
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jhonyy9 (jhonyy9):
why ?
OpenStudy (anonymous):
because the 25 was positive after I made the negative an i, so the negative didn't affect/apply to the 25
jhonyy9 (jhonyy9):
yes but there was sqrt(-25)
yes ???
OpenStudy (anonymous):
Yes. Is it because there is a square root that you cannot do that?
OpenStudy (anonymous):
For instance, if it the equation was simply 20i, the conjugate would be -20i
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jhonyy9 (jhonyy9):
yes
jhonyy9 (jhonyy9):
and when in equation there is sqrt(-25) how many will be ?
OpenStudy (anonymous):
?
jhonyy9 (jhonyy9):
so sqrt(-25)=5i so than the conjugate will be -5i
jhonyy9 (jhonyy9):
or not ???
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OpenStudy (anonymous):
The conjugate of the 5i would be, but that's not the conjugate for 25?
jhonyy9 (jhonyy9):
hope you understand it
jhonyy9 (jhonyy9):
conjugate for 25 ??? why ? you have wrote there firstly sqrt(-25)
OpenStudy (anonymous):
Thanks for being patient with me and this equation ^^
OpenStudy (anonymous):
yes. so : -25= 25i and the conjugate would be -25i?
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jhonyy9 (jhonyy9):
no
jhonyy9 (jhonyy9):
just when is sqrt of one negativ number just than will have i
OpenStudy (anonymous):
okay, so than the conjugate of -25 will be positive 25
OpenStudy (anonymous):
under the square root sign ^^
jhonyy9 (jhonyy9):
no
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OpenStudy (anonymous):
:( oh man. So what is the conjugate?
jhonyy9 (jhonyy9):
of 5 is -5 but when there is sqrt(-9) so than sqrt(-9)=3i than the conjugate for 3i will be -3i
OpenStudy (anonymous):
don't you have to find the conjugate of the question before solving?
OpenStudy (anonymous):
becauss you have to find the conjugate and then mult them against eachother
jhonyy9 (jhonyy9):
yes
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jhonyy9 (jhonyy9):
do you have there one exercise ?
OpenStudy (anonymous):
?
OpenStudy (anonymous):
I could give you the site so you can see what I'm talking about
OpenStudy (anonymous):
it;s tdlc.com the login in is at the bottom: Your username is: kl1595
Your password is: wc684dd
jhonyy9 (jhonyy9):
so the conjugate for sqrt(-15)= -isqrt15
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OpenStudy (anonymous):
that's the answer? 8 squear root of 15 = square root of -15
OpenStudy (anonymous):
for that particular question
jhonyy9 (jhonyy9):
what is 8 there ?
OpenStudy (anonymous):
opps, - square root of 15 = square root of - 15
jhonyy9 (jhonyy9):
no
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jhonyy9 (jhonyy9):
sqrt(-15)=isqrt15
OpenStudy (anonymous):
oh!
jhonyy9 (jhonyy9):
now is understandably for you ?
OpenStudy (anonymous):
that concept applies to my question as well right?
OpenStudy (anonymous):
YES :D THANK YOU <3
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jhonyy9 (jhonyy9):
yw
jhonyy9 (jhonyy9):
bye
OpenStudy (anonymous):
Bye :)