Determine a conjugate for $5+\sqrt{5}$5+√5.
Determine a conjugate for $6-\sqrt{v}$6−√v.
Determine a conjugate for $\sqrt{6}+\sqrt{3}$√6+√3.
Determine a conjugate for $\sqrt{n}-\sqrt{5}$√n−√5.
Define rational and irrational numbers and perform operations with surds and fractional indices.