simplify the number using the imaginary unit i.
square root of -16
To simplify the number using the imaginary unit i, we need to find the square root of -16.
Step 1: Rewrite -16 as a product of a real number and the imaginary unit i. We know that i^2 = -1, so -16 can be written as -1 * 16.
Step 2: Take the square root of both parts separately. √(-1) = i and √(16) = 4.
Step 3: Combine the real and imaginary parts. The square root of -16 is equal to 4i.
Therefore, the simplified form of the square root of -16 using the imaginary unit i is 4i.