Answer:
The correct answer is that 4√- 2 is the simplest radical form of this mathematical expression and 8i (i = imaginary unit) is the solution if we want to find out the square root of a negative signed number.
Explanation:
1. Let's write in a mathematical expression the information given:
Sum square root of -2 and the square root of - 18
√- 2 + √ - 18
√- 2 + √ 9 . - 2 ( 9 * -2 = - 18)
√- 2 + 3 √ - 2 (√ 9 = 3)
4 √- 2
This is the simplest radical form of this mathematical expression. If we want a concrete number, we should remember that if we refer to the imaginary numbers we can find the solution for √-2 = 2i, or for any other negative number, where i is the imaginary unit. This unit can be used for the development of the square root of negative signed numbers.
Then,
4 √- 2 = 4 (2i) = 8i
The correct answer is that 4√- 2 is the simplest radical form of this mathematical expression and 8i (i = imaginary unit) is the solution if we want to find out the square root of a negative signed number.