Question

Need an explanation

Answer 1

Answer: Choice B

`(6√(5)+5)i`

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Work Shown:

`√(-5)+√(-25)+√(-125)\\\\√(-1*5)+√(-1*25)+√(-1*25*5)\\\\√(-1)*√(5)+√(-1)*√(25)+√(-1)*√(25)*√(5)\\\\i*√(5)+i*5+i*5*√(5)\\\\i*√(5)+5i+5i*√(5)\\\\(i√(5)+5i*√(5))+5i\\\\(√(5)+5√(5))i+5i\\\\(6√(5))i+5i\\\\(6√(5)+5)i\\\\`

This points us to answer choice B