Use the properties of complex numbers to simplify (−49−−−−√+5i) + (8−−4−−−√) (1 point)

Question

1.) 8 +5i +−53−−−−√
2.) 13+9i
3.) 8 + 10i
4.) 8 + 14i

Answer 1

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).