Question

Determine the positive square root of -36

Answer 1

`i=√(-1)\\\\-36=(-1)(36)\\\\√(-36)=√((-1)(36))=√(-1)\cdot√(36)=i\cdot6=6i\\\\Used\ √(ab)=√(a)\cdot√(b)\\\\Answer:\ \boxed{√(-36)=6i}`

Answer 2

6i

Explanation:

`√(-36) = √(-1)√(36)\\= 6i`

The square root of a negative 1 is I, so you just take out the negative, replace it with I, then solve the square root like normal