Question

write in terms of i
simplify your answer as much as possible
[\sqrt;[\neg;[80]]]

Answer 1

Can you rewrite [\sqrt;[\neg;[80]]]

I can't read it

Answer 2

\[\sqrt{-80 }\]

this?

Answer 3

yes

Answer 4

@darkknight are you doing this one or me?

Answer 5

idk, u can if u want to

Answer 6

well i need help with another one andi just did this one, so he's all yours :)

Answer 7

ok

Answer 8

wait a few min

Answer 9

ok

Answer 10

first you want to rewrite this
remember that \ What would you get if you rewrite this in terms of i

Answer 11

actually there is only 1 step lol

Answer 12

ok

Answer 13

so basically you can rewrite that as 80i, because sqrt(-80) = 80i. If you take out the sqrt(-1) which equals i

Answer 14

ok so first
\[\sqrt{-80}= \sqrt{-1}*\sqrt{80}\]
the sqrt of -1 is equal to i

so we have
\[i \sqrt{80}\]

the sqrt of 80 can be broken down into
\[\sqrt{16}*\sqrt{5}=4\sqrt{5}\]

now since 4 AND i are outside the radical you combine them.


after combining them, what are we left with?

Answer 15

4i

Answer 16

ok and what about the stuff under the radical?

Answer 17

u leave it?

Answer 18

good point, we can simplify the thing I got more. Didn't read the instructions

Answer 19

lol

Answer 20

so would i leave it?

Answer 21

the stuff under the radical, yes, because the sqrt of 5 can not be simplified any further

Answer 22

ok

Answer 23

so how do you write your final answer?

Answer 24

thx, i already did that part lol

Answer 25

ok. yw. be sure to close the post