Question

find the value of k in simplest form for which the larger root of x^2-5x+k=0 is √6+√11 * √3+√3+√11 * √3+√6+√3+√11 * √3-√6+√3+√11.

Answer 1

Wow, first of all , I think you meant:

(√6+√11) * (√3+√3+√11) * (√3+√6+√3+√11) * (√3-√6+√3+√11)

Did you really mean for that to be multiplied?
Very tedious and long which I don't feel like doing.
Btw, in the second factor , are there supposed to be two √3's ?

Please restate the question in its proper form