Question

Please help!
writing in terms of i ​

Answer 1

Given:

The term is
`√(-80)`.

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

`√(-80)`

It can be written as:

`√(-80)=√(80* (-1))`

`√(-80)=√(80)* √(-1)`

`√(-80)=√(16* 5)* i`
`[\because √(-1)=i]`

On further simplification, we get

`√(-80)=√(16)* √(5)* i`

`√(-80)=4* √(5)* i`

`√(-80)=4√(5)i`

Therefore, the required term is
`4√(5)i`.