simplify $$i \sqrt{67}$$

Question

anonymous · Answer

what does "simplify" mean?

amistre64 · Answer

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

anonymous · Answer

they are the same material

amistre64 · Answer

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 ....

anonymous · Answer

there is nothing to "simplify' here.

amistre64 · Answer

just a public service announcement :)

anonymous · Answer

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

anonymous · Answer

i think its an equation flipped around right?

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

yes

anonymous · Answer

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

anonymous · Answer

ok thanks

anonymous · Answer

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 
$$a-bi$$

amistre64 · Answer

the product of complex conjugates produces a real number

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

i think its i ?

anonymous · Answer

i or 1 ?