Final answer:
The sum of √(-2) and √(-18) is 4i√2i.
Step-by-step explanation:
To calculate the sum of √(-2) and √(-18), we need to simplify each square root first. The square root of -2 can be written as √-1 √2i. The square root of -18 can be written as √-1 √9 √2i. When we add these together, we get: √-1 √2i + √-1 √9 √2i. Simplifying further, we have: i√2i + 3i√2i. Combining like terms, we obtain: 4i√2i. Therefore, the sum of √(-2) and √(-18) is 4i√2i.