For the life of my can't figure out how left hand side turns into right hand

[rigid saffron]

What did you try

[craggy moss]

I basically solved a complicated equation to reach this for a question about proof. Beyond this I am not sure how to reach the end goal. At first, I thought my answer was wrong but it isn't since if you count decimals for boths in calculator they equate yet they look completely different. Maybe some math guru sees it right away but I am unable to see the way.

[rigid saffron]

Yes I can see how you could get stuck here

Perhaps try squaring both sides

Then try to get the left side to be the right side

Then squareroot to go back

[craggy moss]

this isn't an equation, what I am trying to say is that the right hand side is the correct answer that you should get to satisfy the proof. But I got the left hand side instead

Is there something that can be done to the left hand side alone such as conjugate or some other neat trick to make it exactly look like the right hand side?

[rigid saffron]

Yeah I understood the problem

Try this instead

Left side = sqrt[(left side)^2]

Then see if you can get it to look like the right side from there

[rigid saffron]

This is equal because the left side is positive

[craggy moss]

ok will try that thx

[rigid saffron]

Left side is actually more simplified in my opinion, so it is weird that they want it in a less simplified form

[craggy moss]

i mean worst case I just equate it directly, but then it feels like to me that some major steps are missing. But they are both equal at the end of the day

I figured it out, thank you so much for your help, your method did the trick.

[golden matrix]

hmm

wait

[golden matrix]

show og eq

plej

fasht

[golden matrix]

.