Question

Which expression is equivalent to √-108 - √-3

Answer 1

6sqrt3 = sqrt(36*3) = sqrt108 

so choice B is right sure 

hope helped 

Answer 2

Answer:

The equivalent expression will be  $5i\sqrt{3}$

Step-by-step explanation:

The given expression is:   $\sqrt{-108}-\sqrt{-3}$

$\sqrt{-108}-\sqrt{-3}\\ \\ =\sqrt{36*(-3)}-\sqrt{-3}\\ \\ =\sqrt{36}*\sqrt{-3}-\sqrt{-3}\\ \\ =6\sqrt{-3}-\sqrt{-3}\\ \\ =5\sqrt{-3}\\ \\ =5i\sqrt{3}$

[As  $i= \sqrt{-1}$]

So, the equivalent expression will be  $5i\sqrt{3}$