Answer:
[tex]\sqrt{- 80}[/tex] = [tex]4*\sqrt{-5}[/tex].
Step-by-step explanation:
Given : square root of negative 80
To find: Which expression is equivalent.
Solution : We have given [tex]\sqrt{- 80}[/tex].
We can write the 80 as 16 *5
[tex]\sqrt{- 80}[/tex] = [tex]\sqrt{- 16 * 5}[/tex].
By the radical rule :
[tex]\sqrt{-16 *5}=\sqrt{16} *\sqrt{-5}[/tex]
[tex]\sqrt{-16 *5}=4*\sqrt{-5}[/tex]
Therefore, [tex]\sqrt{- 80}[/tex] = [tex]4*\sqrt{-5}[/tex].
