Question

Rewrite the square-root expression as an imaginary number: sqrt of -64 is it 8i?

Answer 1

The answer is 8i.

i = √(-1)

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

Answer 2

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