Simplify sqrt(-64)? Thanks

2 Answers
Mar 1, 2018

8i

Explanation:

sqrt(-64) = sqrt(-1 * 64)

= sqrt(-1)*sqrt(64)

= sqrt(-1)*8 " " -> since i=sqrt(-1)

= 8i

Mar 1, 2018

sqrt(-64)=8i

Explanation:

On the set of complex numbers, the identity sqrt(ab)=sqrtasqrtb holds for any a,binCC.

So sqrt(-64)=sqrt(-1)sqrt64=i8=8i