Use the properties of complex numbers to simplify (−49−−−−√+5i) + (8−−4−−−√) (1 point)
1.) 8 +5i +−53−−−−√
2.) 13+9i
3.) 8 + 10i
4.) 8 + 14i
To simplify the expression, we can simplify each individual term and then combine them.
First, let's simplify (-49-√-5+5i):
The square root of -5 can be written as √5*i. So, we have:
(-49-√5*i+5i)
Now, let's simplify (8-4√-1):
The square root of -1 is denoted as i. So, we have:
(8-4i)
Now, let's combine the two simplified terms:
(-49-√5*i+5i) + (8-4i)
= -49 + 8 -√5*i + 5i - 4i
= -41 + i(5 - √5)
Therefore, the simplified expression is -41 + i(5 - √5).
Thus, the answer is 1.) -41 + i(5 - √5).