Question

can someone explain these problems...I attempted but it was incorrect

Answer 1

^^^^

Answer 2

i the imaginary unit of complex numbers
\[ \sqrt{-16}=\sqrt{16}\sqrt{-1}=4i \]
for example

Answer 3

so all I have to do is multiply by the square root of negative 1

Answer 4

kind of. you do NOT have an equation.
\[ \large 20\sqrt{\frac{-1}{100}}-12\sqrt{-\frac{1}{16}}=
20\sqrt{-1}\sqrt{\frac{1}{100}}-12\sqrt{-1}\sqrt{\frac{1}{16}} \]
can you go on?

Answer 5

Im trying, ill post my answer when im finished

Answer 6

is it -1

Answer 7

No!
you have a substraction!

Answer 8

you can factor
\[ i=\sqrt{-1} \]
plus
\[ \sqrt{\frac{1}{100}}=\frac{1}{10}\quad\text{and}\quad\sqrt{\frac{1}{16}}=\frac{1}{4} \]
so what do you get?

Answer 9

1/40

Answer 10

were multiplying the two right

Answer 11

Come on!
\[ ...=\sqrt{-1}\left(20\frac{1}{10}-12\frac{1}{4}\right)= \]

Answer 12

so what did you get?

Answer 13

Im still solving srry im taking so long

Answer 14

-i or -1

Answer 15

you choose

Answer 16

-i

Answer 17

YES!

Answer 18

GOOD WORK!

Answer 19

THANKS SORRY FOR ALL THE HASSLE!!!! I will apply this same method to the second one!

Answer 20

you are welcome!
keep it up!