Question

@SolomonZelman Find the indicated real nth root(s) of a. Thank you for any help!
1. n=4, a=0
2. n=7, a=128
3. n=5, a=0

Answer 1

real nth root... just find all the nth roots and throw out all the imaginary ones

Answer 2

Okay, can you show me how? =)

Answer 3

what math class are you in?

Answer 4

I'm in algebra

Answer 5

are you in a unit about imaginary numbers?

Answer 6

No, my teacher gives us problems that we aren't learning in class.

Answer 7

have you learned about imaginary numbers before?

Answer 8

(just wondering what depth I need to explain it to)

Answer 9

I have but I can't remember how to find the real nth root.

Answer 10

I remember most of it so just the nth root!

Answer 11

for the real nth root yes

Answer 12

so x^n=a

Answer 13

Okay, thank you so much!

Answer 14

do you want me to teach you or remind you how to find complex nth roots?

Answer 15

Can you remind me?

Answer 16

So, for the first problem would the answer be x^4=0?

Answer 17

the answer would be whatever x would be if x^4=0

Answer 18

complex nth roots are found using:\[\sqrt[n]{r(\cos (\theta) + i \sin (\theta)}=\sqrt[n]{r}(\cos(\frac{ \theta ±2\pi }{ n })+ i \sin (\frac{ \theta ±2\pi }{n})\]

Answer 19

have you ever seen something like that before?

Answer 20

if not, you probably don't have to know it

Answer 21

I haven't seen that before

Answer 22

=(

Answer 23

ok, you don't have to know it

Answer 24

I learned that in pre-calculus, so...

Answer 25

Okay!

Answer 26

you're fine

Answer 27

Thanks!

Answer 28

just forget that

Answer 29

Well, thanks for your help