Paver Patio and Tree Roots
What kind of tree is it? How tall is the tree?
We have a huge oak tree in our front yard, and last year I built a circular retaining wall around it for a raised flower bed. We had to cut a couple of surface roots, similar in size and length as what you posted.
We did have an arborist (PhD) come out and look at the tree before we cut back the roots, just to make sure we wouldn't damage the tree or make it unstable. Since we were only cutting two roots that were shallow, we were given the green light. I should also mention that the roots we cut were approximately 5' from the base of the tree.
Something to think about...as the tree grows, more surface roots may develop and grow under your paver patio, causing the pavers to buckle. This happened with my retaining wall...as the tree grew last year, the retaining wall became uneven in a few places.
So if I were in your shoes, I'd raise probably raise the patio.