Solve

(√6+i)(√6-1)

We solve equations, you don't have an equation

if you meant:
evaluate (√6+i)(√6-1)
= 6 - √6 + √6i - i

I have a strong feeling you meant:
(√6+i)(√6-i)
= 6 - i^2 , but i^2 = -1
= 6+1
= 7