Question

complex numbers homework, will fan and medal

Answer 1

Square root of negative 75?

Answer 2

If you factor 75, you get 3*5*5 so pull the 5*5 out of the square root and make it 5. Then the i(the negative part) falls in love with the 5's and tags along for the ride and thus only the 3 is left under the square root. \[5i \sqrt{3}\]

Answer 3

thank you very much, would you mind helping with a few more? so i can really get the grasp of it

Answer 4

i can make new questions if you want more medals

Answer 5

No, just ask them here <3. I would be glad to help.

Answer 6

thanks :)

Answer 7

Have you heard the song It's Not Unusual by Tom Jones

Answer 8

\[\sqrt{98}\]

Answer 9

and no, why do you ask?

Answer 10

I heard it recently and I think its good

Answer 11

ill give it a listen soon :)

Answer 12

Okay great. Now hit me with those questions.

Answer 13

\[\sqrt{98}\]

Answer 14

i could just solve that in a calculator but my teacher wouldn't accept it lol

Answer 15

Okay for square root problems, always think about ways to break down the number under the square root into smaller numbers. So for 98 it would be 2*7*7

Answer 16

Then you pull out the perfect square and it becomes 7sqrt(2)

Answer 17

i get that, but the way my teacher taught me looks different than yours so i'm trying to get used to it @ArkGoLucky

Answer 18

Oh. What way did your teacher teach you.

Answer 19

ill post a picture, one minute

Answer 20

well, idk, he talked about imaginary numbers and perfect squares

Answer 21

Well it seems to be that is the same method as the one I am using

Answer 22

like, \[\sqrt{-50}\] = 5i(sqrt)2

Answer 23

So what way would you solve this if not the one I used?

Answer 24

he puts the answer inside of a sqrt sign so it just looks different.

Answer 25

its okay though, whatever works

Answer 26

Oh. Well you can tell your teacher that this random person on the Internet thinks his method is pretty useless.

Answer 27

lolololol okay

Answer 28

Yeah sorry. I'm just a little confused as what is the difference between our methods. Do you have any other questions?

Answer 29

i actually like this way better

Answer 30

yeah i have like 7 more problems lol

Answer 31

Keep'em coming. By the way, is your profile picture a picture of you. Those are some awesome tattoos.

Answer 32

yeah thats me, and thank you, i love them :)

Answer 33

they were costy though

Answer 34

but the next one is \[\sqrt{-500}\]

Answer 35

Okay same process. First take out the negative so that it becomes -1*500. Then split 500 into factors. 500-> 5*10*10. Pull out the The result is really \[\sqrt{-1}*\sqrt{100}*\sqrt{5}\]

Answer 36

That becomes i*10*sqrt(5)

Answer 37

hm..that makes sense

Answer 38

\[\sqrt{64}\] this should be easy i bet lol

Answer 39

8

Answer 40

no solving requires since its a perfect square im assuming?

Answer 41

Yes

Answer 42

easy enough =)

Answer 43

\[\sqrt{-45}\]

Answer 44

i3sqrt(5)

Answer 45

is that all? no numbers to break it down?

Answer 46

3*3*5*i so you can pull out the 3

Answer 47

so the answer looks like i3\[\sqrt{5}\]?

Answer 48

or would it be 3i

Answer 49

3i is the same as i3. Whatever you are more comfortable with

Answer 50

ah okay :D

Answer 51

sqrt 162

Answer 52

2*9*9 so 9sqrt(2)

Answer 53

only a couple more now

Answer 54

\[\sqrt{-72}\]

Answer 55

-1*6*6*2= 6isqrt(2)

Answer 56

sqrt 20

Answer 57

2*2*5 =2sqrt(5)

Answer 58

-32

Answer 59

-1*4*4*2=4isqrt(2)

Answer 60

last one is sqrt 125

Answer 61

5*5*5=5sqrt(5)

Answer 62

i actually understand it now, this was better than the actual class lol. thank you so much for everything, i'm gonna go listen to that song. have a nice night :)

Answer 63

You're welcome. Good night to you too.