Ok, sqrt(-32) deals with imaginary numbers. This is because you can't take the square root of a negative number. So, we'll split that up into: sqrt(32)•sqrt(-1) And since sqrt(-1) = i, I'll use that from this point forth. So we have i•sqrt(32) Now, to simplify sqrt(32), we'll split it up into sqrt(16) • sqrt(2) because sqrt(16) =4 This will leave us with a final answer of 4isqrt(2) Hope this helps & wasn't too confusing!