Question

Which expression is equivalent to √-80

a. -4 √5
b. -4 √5i
c. 4 √5i
d. 4 √5

Answer 1

Your answer would be c.

Explanation:

Answer 2

To simplify √-80, we can take out "i" from the root by using the relation i = √-1. Further factoring out 80, we can simplify it, which will be shown as follows:

√-80 = √(-1)(16)(5) = 4i√5

Among the choices, the correct answer is C.