how would one divide the following, with full steps shown:

Question

1+1/√3 ÷ 1-1/√3

Answer 1

you need brackets like this

(1+1/√3) ÷ (1-1/√3)
now multiply both the top and the bottom by √3

(√3 + 1) / (√3 - 1)

now you could rationalize it by multiply top and bottom by √3+1

for

(3 + 2√3 + 1)/(3-1)
=(4 + 2√3)/2
= 2 + √3