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Mathematics 16 Online
OpenStudy (anonymous):

What is the conjugate of the square root of -15 ?

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 ?

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 ?

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

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?

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

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

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 ???

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?

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

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

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

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

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

jhonyy9 (jhonyy9):

yw

jhonyy9 (jhonyy9):

bye

OpenStudy (anonymous):

Bye :)

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