Which of the following re-expresses the negative square root −6−20−−−−√ as a complex number in the standard form a+bi ?(1 point)
1. 2i√5
2. -12√5i
3. -12i√5
4. -12√5
To re-express the negative square root −6−20−−−−√ as a complex number in standard form, we need to express it in the form a+bi.
Given: −6−20−−−−√
We can simplify this expression by breaking it into two parts: -6 and √20.
Now, let's simplify √20:
√20 = √(4*5) = 2√5
Putting it all together: -6 - 2√5
Hence, the complex number in standard form is -6 - 2√5i.
Therefore, the answer is option 2: -12√5i.