Question

write the expression in standard form. 7/4-14i

Answer 1

that looks pretty standard to me :|

Answer 2

lol its not one of the answer choices so its probably not

Answer 3

what choices are they giving? because as far as I undestand it, THAT IS the standard form, the other form 'imaginary' numbers have is trigonometric form, or polar

Answer 4

-7/53+49/106i thats one

Answer 5

\[\frac{ -7 }{ 53 }+\frac{ 49 }{ 106 }i\]

Answer 6

ahemm, I got that, BUT, the form is still in standard format, namely \(\color{red}{a+bi}\)

Answer 7

well it must not be if the question is asking me to put it in standard form

Answer 8

well, I think the wording of the Q is not-so-good, unless they mean they don't want any rationals

Answer 9

you can always get rid of the rational by multiplying by 4

Answer 10

\[\frac{ 7 }{ 4-14i }\]
is this the question?

Answer 11

Yes

Answer 12

well its not standard form.. u have to convert it and u can do that by doing.

Answer 13

\[\frac{ 7 }{ 4-14i }\times \frac{ 4+14i }{ 4+14i }\]
now solve this.

Answer 14

Well the denominator just cancels out right?

Answer 15

no u dont have to cancel here u have to multiply here.. its called rationalizing.

Answer 16

My class is online i rely on this site to teach me, I have no teacher

Answer 17

its ok.. just telling u what i amd doing.. :)

Answer 18

lol thanks

Answer 19

so what i am doing is called rationalizing.. can u multiply what i wrote.. don't cancel the 4+14i

Answer 20

multiply straight across

Answer 21

yes... n tell me what u get.

Answer 22

okay

Answer 23

\[\frac{ 28+98i }{ 16-196i }\]

Answer 24

I tried, no idea if its right...

Answer 25

dont u think 196i^2?

Answer 26

rather then 196i

Answer 27

why squared?

Answer 28

(4+14i)(4-14i)
16 -56i +56i +(14i)(-14i)

Answer 29

okay...

Answer 30

do u get now?

Answer 31

not really

Answer 32

which part u dont get?

Answer 33

well what do I do next, I understand the multiplying part what happens next?

Answer 34

i^2 = -1 right?
so -196i^2 = 196.. u get it?

Answer 35

yes

Answer 36

so can u solve further nw.?

Answer 37

I have no clue...Im so sorry...This isnt making any sense

Answer 38

lol.. which part u have to tell..
\[\frac{ 28+98i }{ 16+196 }\]
solve the denominator now .

Answer 39

212

Answer 40

\[\frac{ 28 }{ 212 }+\frac{ 98i }{ 212 }\]
simplify it

Answer 41

\[\frac{ 7 }{ 53 } + \frac{ 49 }{ 106 } i\]

Answer 42

ok thats cool then.. its now ur standard form ..

Answer 43

lol thanks, sorry it took so long...

Answer 44

its fine i dont mind.. :)