Simplify the number using the imaginary unit i. (sqrt)of -28
•2(sqrt)-7
•-2 (sqrt)-7
•i (sqrt)28
•2i (sqrt)7
1. D. 2i sqrt 7
2. B. 4, 2
3. B. 11-2i
4. C. 20-4i
5. A. 31+i/26
6. C. 1 i sqrt 9
took the quiz, 100% ^^
sqrt ( - 28 ) =
sqrt ( - 4 * 7 ) =
sqrt ( - 1 * 4 * 7 ) =
sqrt ( - 1 ) * sqrt ( 4 ) * sqrt ( 7 ) =
i * 2 * sqrt ( 7 ) =
2 i sqrt ( 7 )
To simplify the number using the imaginary unit i, we can break down the square root of -28.
First, let's rewrite -28 as -1 * 4 * 7.
Now, taking the square root of -1 gives us i, the imaginary unit.
Taking the square root of 4 gives us 2.
And finally, taking the square root of 7 gives us √7.
Therefore, the simplified expression is 2i√7.
So, the correct answer is: 2i(sqrt)7.
To simplify the square root of a negative number using the imaginary unit i, you can start by finding the square root of the positive value.
In this case, the square root of 28 is 2(sqrt)7.
Next, you add the imaginary unit i to indicate that the number is imaginary.
So, the simplified expression is 2i(sqrt)7.
Hence, the correct answer is option D: 2i(sqrt)7.