Question

I don't understand this I have spent many points on this same question so this time I will be giving brainliest for the first correct answer. Thanks so much for your help!!!

Answer 1

Given:

$|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|$

Solution:

Complex formula:

$|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}$

Let us simplify one by one.

$|3+4 i|=\sqrt{3^{2}+4^{2}}$

           $=\sqrt{25}$

|3 + 4i| = 5

$|3-4 i|=\sqrt{3^{2}+(-4)^{2}}$

           $=\sqrt{25}$

|3 - 4i| = 5

$|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}$

           $=\sqrt{25}$

|-3 + 4i| = 5

$|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}$

           $=\sqrt{25}$

|-3 - 4i| = 5

Substitute these in the given expression:

$|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5$

                                                                  $=20$

The solution of the expression is 20.