Question

Simplify square root of negative 100

−10

−10i

10i

10

Answer 1

@satellite73

Answer 2

The square root of a negative number is an imaginary number.
sqrt(-100)
= sqrt[(-1)(100)]
= sqrt(-1) sqrt(100)
*Note: sqrt(-1) is defined to be the imaginary number + or - i.*
= (+ or -)i (10)
= (+ or -)10i

or simplified version is
√(-100) = √(100) * √(-1) = ±10 i

where i is √(-1).
So which answer do you think it is? :)

Answer 3

-10

Answer 4

Are u sure, really look at my example?

Answer 5

i would not go with \(\pm\) for this one

Answer 6

just 10 right

Answer 7

only because, although all numbers have two square roots, the symbol \(\sqrt{-100}\) means the principle root

Answer 8

No its still an imaginary number so it can't be just 10 or -10, do you understand imaginary roots?

Answer 9

So it would be 10i

Answer 10

@DI_KAZ do u understand why its 10i?! :D

Answer 11

yes now i do :)

Answer 12

Awesome glad i could help! :)