Question

Express the number in terms of i.

Answer 1

\[\sqrt{-32}\]

Answer 2

I think it's

Answer 3

\[\sqrt{(8)^{2}*(4)^{2}}\] or something like that.. right?

Answer 4

oh no

Answer 5

\(\sqrt{32}=\sqrt{16\times 2}=\sqrt{16}\sqrt{2}=4\sqrt{2}\)

Answer 6

4i * (squrt) 2

Answer 7

since you have a \(-\) sign in there, it will be \(4\sqrt{2}i\)

Answer 8

is that right?

Answer 9

make sure you write the \(i\) outside of the radical

Answer 10

I did

Answer 11

lol, i meant @Mhm120

Answer 12

Understood. How would we solve the same question if it was a fraction?

Answer 13

the same way
you got an example?

Answer 14

\[\sqrt{\frac{- 1 }{ 9 }}\]

Answer 15

\[( \sqrt{-1} / \sqrt{9} ) = ( \sqrt{1} / \sqrt{9} )i = 1/3i\]

Answer 16

understand?

Answer 17

Understood.