Question

What is the square root of negative 100?

Answer 1

10i

Answer 2

Since you cannot sq.rt any negatives you must seperate it to this:
\[\sqrt{-1} * \sqrt{100}\]
since [\sqrt{-1\] is i
and Sq.rt of 100 is 10

Answer 3

10i

Answer 4

So would the answer come out as a negative number or a positive number?

Answer 5

\[\sqrt{-1}=i\]
\[\sqrt{-100}=i \sqrt{10*10}=10i\]

Answer 6

So what is the name of the symbol 100 goes inside when trying to come up with the square root?

Answer 7

just to interrupt, i has no life of its own it is just another name for
\[\sqrt{-1}\]so all you are saying is that
\[\sqrt{-100}=\sqrt{100}\times \sqrt{-1}=10\sqrt{-1}\] and then replace
\[\sqrt{-1}\] by
\[i\]

Answer 8

the negative sign is on the outside of the symbol the 100 is in. does that change the answer?

Answer 9

\[\large -\sqrt{100}=-10\]


\[\large \sqrt{-100}=10i\]


\[\large -\sqrt{-100}=-10i\]

Answer 10

okay.....so my answer is -10. thank you so much!!

Answer 11

np, so I'm guessing there was only one negative in that problem then