Question

ALGEBRA 2 QUESTION URGENT HELP PLEASE!!

Answer 1

Answer:

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

Step-by-step explanation:

We want to simplify the complex number:

$\frac{\sqrt{-16} }{(3-3i)+(1-2i)}$

We rewrite to obtain:

$\frac{\sqrt{16}\times \sqrt{-1} }{(3+1)+(-3i-2i)}$

Recall that: $\sqrt{-1}=i$ and  $-1=i^2$

We simplify to get:

$\frac{4i}{4-5i}$

We rationalize to get:

$\frac{4i}{4-5i}\times\frac{4+5i}{4+5i}$

$\frac{4i(4+5i)}{(4-5i)(4+5i)}$

$\frac{16i+20i^2}{4^2+5^2}$

$\frac{16i-20}{16+25}$

$\frac{-20+16i}{41}$

The correct answer is D