Question

What is the square root of –16?

Answer 1

`\boxed{\bold{4i}}`

Step By Step Explanation:

[ Step One ] Apply Radical Rule
`\bold{√(-a)=√(-1)√(a): \ √(-16)=√(-1)√(16)}`

`\bold{√(-1)√(16)}`

[ Step Two ] Apply Imaginary Number Rule:
`\bold{√(-1)=i}`

`\bold{√(16)i}`

[ Step Three ] Simplify
`\bold{√(16)}`

`\bold{√(16): \ 4}`

[ Step Four ] Rewrite Equation

`\bold{4i}`

Answer 2

The answer to your question will be 4 i