Final answer:
The question calculates the sum of 1-2 and the square root of -18. The sum includes a real part, -1, and an imaginary part, 3√(2)⋅i, resulting in a complex number -1+3√(2)⋅i, which does not match any of the given options.
Step-by-step explanation:
The question asks what the sum of 1-2 and √(-18) is. First, we must recognize that 1-2 is a simple arithmetic subtraction, which yields -1. However, the term √(-18) involves the square root of a negative number, which is not a real number but an imaginary number. In mathematics, the square root of -1 is represented by the imaginary unit i. Therefore, √(-18) can be simplified to √(18)⋅i, or equivalently, 3√(2)⋅i, since √(18) is the same as 3√(2).
Adding -1 to 3√(2)⋅i does not combine into a real number since one is real and the other is imaginary. The sum is simply written as -1 + 3√(2)⋅i, which does not correspond to any of the given options (a, b, c, d). Therefore, it is likely that there has been a misunderstanding or typo in the question as posed, because √(-18) is not a real number and its sum with a real number still yields a complex number.