Question

Which choice is equivalent to the expression below? square root of negative 20​

Answer 1

B

Explanation:

The expression can be written as

`√(-20)`

The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression

`2i√(5)`

Answer 2

Correct option is:

B

Explanation:

We have to find a expression which is similar to:

`√(-20)`

Now we start solving

`√(-20)` could also be written as:

`√(-2* 2* 5)`

When we take - sign out of the square root it becomes i

i.e.
`√(-1)=i`

And there are two 2's inside the square root when we take square root it becomes 2

Hence,
`√(-20)=2i√(5)`

Hence, Correct option is:

B