Question

Which expression is equivalent to square root of negative 80

Answer 1

You did not provide a list of choices.

sqrt{-80}

sqrt{16}•sqrt{5}•sqrt{-1}

You know that sqrt{-1} = i.

Answer: 4sqrt{5}i

Done.

Answer 2

`√(- 80)` =
`4*√(-5)`.

Explanation:

Given : square root of negative 80

To find: Which expression is equivalent.

Solution : We have given
`√(- 80)`.

We can write the 80 as 16 *5

`√(- 80)` =
`√(- 16 * 5)`.

By the radical rule :

`√(-16 *5)=√(16) *√(-5)`

`√(-16 *5)=4*√(-5)`

Therefore,
`√(- 80)` =
`4*√(-5)`.