Write $\sqrt{-38}$ as an imaginary number involving $i$. Do not use a decimal approximation for square roots. For example to enter a number like $5 i \sqrt{7}$, type 5 isqrt7. Preview your answer before submitting! \[ \sqrt{-38}= \]

Step 1 ：The square root of a negative number can be written as an imaginary number. The square root of -1 is represented by the imaginary unit 'i'.

Step 2 ：So, the square root of -38 can be written as the square root of 38 times the square root of -1, which is 'i'.

Step 3 ：Therefore, the square root of -38 is equal to the square root of 38 times 'i'.

Step 4 ：\(\sqrt{-38} = \sqrt{38} \times i\)

Step 5 ：Calculate the square root of 38 to get approximately 6.164414002968976.

Step 6 ：Therefore, \(\sqrt{-38} = 6.164414002968976i\)

Step 7 ：Final Answer: \(\boxed{6.164414002968976i}\)