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Verified Answer :

JcAlmighty

The answer is 8i.

i = √(-1)

√(-64) = √((-1) 64)
           = √(-1)  √64
           = i  √8²
           = i 8
           = 8i

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 \(\sqrt{-64}\)

As

\(\sqrt{-64}=\sqrt{-8\times 8}\)

\(=\sqrt{-(8)^2}\)

\(=\sqrt{(-1)(8)^2}\)

\(=\sqrt{-1}\sqrt{8^2}=8i\)

Hence, the square root of -64 is 8i