Surd Simplification

[neat root]

I have solved part a through squaring both sides, but don't know how to use part a in my answer for part b in any way shape or form.

[somber horizon]

4x = 2sqrt(3)
(1+sqrt(1+x))/sqrt(1+x) * 2/2
= (2+2sqrt(1+x))/2sqrt(1+x)
= (2+sqrt(4+4x))/sqrt(4+4x))
= (2+sqrt(4+2sqrt(3)))/sqrt(4+2sqrt(3))
= (2+1+sqrt(3))/(1+sqrt(3))
= (3+sqrt(3))/(1+sqrt(3)) * (1-sqrt(3))/(1-sqrt(3))
= (3-3sqrt(3)+sqrt(3)-3)/(1-3)
= -2sqrt(3)/-2
= sqrt(3)

[neat root]

hey mate

i appreciate ur help

but im struggling to interpret ur answer

[somber horizon]

which part?

[neat root]

most of it

there is just a lot of brackets which im struggling to understand

how did you get from line 3 to line 4?

[lilac locust]

2 root 2 = root 4 times 2

[neat root]

yes

that makes sense

oh i see

[somber horizon]

you understand it now?

[neat root]

yep the rest makes sense

i just didnt see why

until u subbed the 4x back in

then i got it

ur a legend

do i need to close this

[somber horizon]

if you have no more doubts then sure