Question

Heres one I dont understand. (-2+SQRT-100)^2

Answer 1

\[(-2+\sqrt{100})^2\]

Answer 2

\[-2^2 + \sqrt{100}^2\]
what's -2 * -2
and the sqrt of 100 squared just cancels the sqrt and the square thus making it 100

Answer 3

4

Answer 4

4+100i

Answer 5

\[(-2+\sqrt{100})(-2+\sqrt{100})\] they don't cancel

Answer 6

\[\sqrt{100} * \sqrt{100}\]
doesn't cancle?

Answer 7

just the sqrt

Answer 8

100i?

Answer 9

its -100

Answer 10

\[(-2+\sqrt{100})(-2+\sqrt{100})\]
i forgot you have to FOIL it out
first outer inner last

Answer 11

\[\sqrt{-100}\] i for got the negative

Answer 12

yes so you can rewrite this as

Answer 13

\[\sqrt{-1}\sqrt{100}\]

where \[\sqrt{-1}=i\]

Answer 14

you know that \[\sqrt{100}=10\]

Answer 15

so now you have

\[(-2+10i)(-2+10i)\]

Answer 16

is it -100 or positive?

Answer 17

negative sorry

Answer 18

so foiling you et

\[4-20i-20i+100i^2\]

kowing that \[i^2=-1\]

\[4-40i-100\]
\[-96-40i\]

Answer 19

i have the answer -96-40i

Answer 20

that is the correct answer

Answer 21

i thought you meant the middle i's cancel

Answer 22

ok

Answer 23

Thank you again for you helps!