Question

Which of these expressions is equal to 2 + √-36?

a. 2 - 36i
b. 2 + 36i
c. 2 - 6i
d. 2 + 6i

Answer 1

The expression 2 + √-36 is equal to 2 + 6i.

Step-by-step explanation:

To evaluate the expression 2 + √-36, we first simplify the square root. The square root of -36 is equal to √(-1) × √36. The square root of -1 is represented by the imaginary unit 'i'. So, we have √-36 = √(-1) × √36 = i × 6 = 6i. Now, we can substitute this value back into the original expression 2 + 6i to get the final answer which is 2 + 6i. Therefore, the correct answer is (d) 2 + 6i.

Answer 2

D

Step-by-step explanation:

i = √-1 , as number inside a √ cannot be a negative number, i is an imaginary number

2 + √-36

= 2 + √(36×-1)

= 2 + 6i, d