Question

Which expression is equivalent to square root - 80

Answer 1

If we simplify √-80 you get 4i√5

Answer 2

Answer:

$\sqrt{-80}=4i \sqrt{5}$

Step-by-step explanation:

We know that $\sqrt{-1}=i$

Here we need to find $\sqrt{-80}$

Let us simplify

          $\sqrt{-80}=\sqrt{-1\times 80}=\sqrt{-1}\times \sqrt{80}=i\sqrt{16\times 5}\\\\\sqrt{-80}=i\times \sqrt{16}\times \sqrt{5}=i\times 4\times \sqrt{5}=4i \sqrt{5}\\\\\sqrt{-80}=4i \sqrt{5}$