Simplify the expression

Question

ashy98 · Answer

$$\frac{ \sqrt{-25} }{ (5-2i)+(1-3i) }$$

ashy98 · Answer

$$\frac{ -25+30i }{61  }$$
That is the answer im getting

mjdennis · Answer

I got the same answer.  Do you understand how you got there?

ashy98 · Answer

the truth, no not really lol

photon336 · Answer

should be -6

ashy98 · Answer

$$-\frac{ 17 }{ 58 }-\frac{ i }{ 58 }$$

ashy98 · Answer

?

mjdennis · Answer

@Photon336, that is a plus sign in the bottom of the original experssion and you multiplied.  Why?

photon336 · Answer

@mjdennis is this what you're getting for the first part? 

$$\frac{5i }{ (6-5i) }$$

mjdennis · Answer

@Ashy98, is this clear: $$\sqrt{-25} = 5i$$

mjdennis · Answer

@Photon336 Yes, then multiply top and bottom by the complex conjugate.

photon336 · Answer

yep :) 

$$\frac{ 5i }{ (6-5i) }*\frac{ (6+5i) }{ (6+5i) } = \frac{ 30i+25i^{2} }{ 36-25i^{2} }$$

$$\frac{ 30i-25 }{ 36+25 } = \frac{ 30i-25 }{ 61 }$$

mjdennis · Answer

@Ashy98 if @Photon336 's explanation makes sense, I'm signing off.

shelbywyatt · Answer

lol

ashy98 · Answer

yes it does(: but just to make sure the answer i told yall, is right?

shelbywyatt · Answer

yeah cuz its like photons

mjdennis · Answer

Yes.  it is mathematically the same as @Photon336 gave in the last answer, too.  Most teachers will like the form you used, with the real part (-25) first, the the imaginary part, over a single real denominator.

ashy98 · Answer

Okay well that answers my question. Thank you guys for taking your time to help me!(: