How to solve the square root -216 using complex numbers

6√6i

Step-by-step explanation:

The square root of a number is an operation which finds a number which multiplied by itself makes the original number. Because of this, the square root of a negative number does not exist. A negative times a negative will never make a positive. For this reason, imaginary numbers were created to represent this problem. The foundation of imaginary numbers is that √-1 = i. To find the √-216, find the square root of 216 and write it with an imaginary number i.

√-216 = √-1*√216 = 6√6i

1/800 is the right answer