Question

What is the sum of -2 and √(-18)?
A) 4/2
B) 4√i
C) 5/2
D) √18i

Answer 1

The sum of -2 and the square root of -18 is -2 + i x 3√2.

Step-by-step explanation:

The sum of -2 and √(-18) can be calculated as follows:

1. Start by simplifying the square root of -18. Since the square root of a negative number is not a real number, √(-18) can be written as √(-1 x 18) x √(-1).
2. Using the property of square roots, √(-1 x 18) x √(-1) can be simplified as i√18 = i x 3√2.
3. Now, add -2 to i x 3√2. The sum is -2 + i x 3√2.

Therefore, the sum of -2 and √(-18) is -2 + i x 3√2.