Answer:
The square root of -64 is 8i
Step-by-step explanation:
Given the number -64
we have to find the square root of the above number i.e [tex]\sqrt{-64}[/tex]
As
[tex]\sqrt{-64}=\sqrt{-8\times 8}[/tex]
[tex]=\sqrt{-(8)^2}[/tex]
[tex]=\sqrt{(-1)(8)^2}[/tex]
[tex]=\sqrt{-1}\sqrt{8^2}=8i[/tex]
Hence, the square root of -64 is 8i
