Question

Rewrite the square-root expression as an imaginary number: sqrt of -64

is it 8i?

Answer 1

The square root of -64 is 8i

Explanation:

Given the number -64

we have to find the square root of the above number i.e
`√(-64)`

As

`√(-64)=√(-8* 8)`

`=√(-(8)^2)`

`=√((-1)(8)^2)`

`=√(-1)√(8^2)=8i`

Hence, the square root of -64 is 8i

Answer 2

The answer is 8i.

i = √(-1)

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