Question

Simplify square root of negative 121

Answer 1

11

Answer 2

\[\sqrt{-121}=\sqrt{121\times -1}=\sqrt{\left( 11 \right)^2\times \iota^2}=11 \iota \]

Answer 3

-11

Answer 4

or 11
its all the same!

Answer 5

if you multiply to negative you will get a positive!

Answer 6

Wrong @RedoHawk. Try plugging \[\sqrt{-121}\]into a calculator and see what it says.

Answer 7

Welcome to OpenStudy @deleahleath!

In this case, technically you cannot take the square root of a negative number, but when we do, we add i because i^2 is equal to -1. So we actually have the square root of 121 *-1 which is the same as square root of 121 * i^2 and 121 squre rooted is 11 and i^2 square rooted is just i.

So the square root of -121 is indeed 11i.