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ALGEBRA 2 QUESTION URGENT HELP PLEASE!!

Simplify the expression the root of negative sixteen all over the quantity of three minus three i plus the quantity of one minus two i.

ANSWER CHOICES
a. the quantity of negative twenty minus sixteen i all over nine.
b. the quantity of eight plus four i all over fifteen.
c. the quantity of eight minus four i all over fifteen.
d. the quantity of negative twenty plus sixteen i all over forty one.

2 Answers

6 votes

Answer:

–6

Explanation:

User Akah
by
7.9k points
5 votes

Answer:

d. the quantity of negative twenty plus sixteen i all over forty one.

Explanation:

We want to simplify the complex number:


(√(-16) )/((3-3i)+(1-2i))

We rewrite to obtain:


(√(16)* √(-1) )/((3+1)+(-3i-2i))

Recall that:
√(-1)=i and
-1=i^2

We simplify to get:


(4i)/(4-5i)

We rationalize to get:


(4i)/(4-5i)*(4+5i)/(4+5i)


(4i(4+5i))/((4-5i)(4+5i))


(16i+20i^2)/(4^2+5^2)


(16i-20)/(16+25)


(-20+16i)/(41)

The correct answer is D

User Kieran Johnson
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