Question

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

Answer 1

Answer:

B

Step-by-step explanation:

The expression can be written as

$\sqrt{-20}$

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

$2i\sqrt{5}$

Answer 2

Answer:

Correct option is:

B

Step-by-step explanation:

We have to find a expression which is similar to:

$\sqrt{-20}$

Now we start solving

$\sqrt{-20}$ could also be written as:

$\sqrt{-2\times 2\times 5}$

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

i.e. $\sqrt{-1}=i$

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

Hence, $\sqrt{-20}=2i\sqrt{5}$

Hence, Correct option is:

B