OpenStudy (anonymous):

simplify $i \sqrt{67}$

OpenStudy (anonymous):

what does "simplify" mean?

OpenStudy (amistre64):

all of your postings seem to be exactly the same material ....

OpenStudy (anonymous):

they are the same material

OpenStudy (amistre64):

you need to interact with those who are trying to help you in order to get a better understanding; as opposed to making them feel like you are just looking for free labor ....

OpenStudy (anonymous):

there is nothing to "simplify' here.

OpenStudy (amistre64):

just a public service announcement :)

OpenStudy (anonymous):

ok would you like to explain to me what a conjugate is

OpenStudy (anonymous):

i think its an equation flipped around right?

OpenStudy (amistre64):

a conjugate is ... the name we call the form of a binomial expression that has the opposite operation ...

OpenStudy (amistre64):

a+b has the conjugate a-b a-b has the conjugate a+b

OpenStudy (amistre64):

why it is called a conjugate? youll have to ask the dead math guys that named it long ago ;)

OpenStudy (anonymous):

so one like this ..... 10-3 i would be 10+3 i ??

OpenStudy (amistre64):

yes

OpenStudy (anonymous):

$a+bi$ has conjugate $a-bi$

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

the reason it has a name (though why "conjugate", who knows) is if you solve a quadratic equation and one answer is $a+bi$ the other is always $a-bi$

OpenStudy (amistre64):

the product of complex conjugates produces a real number

OpenStudy (anonymous):

in fact $(a+bi)(a-bi)=a^2+b^2$

OpenStudy (anonymous):

can you please help me with the simplify $i^{67}$

OpenStudy (anonymous):

i think its i ?

OpenStudy (anonymous):

i or 1 ?