Question

-6 radical 5 + radical 3 {[2 radical 3 (radical 8 + radical 5) + 6 radical 15] : 4 + radical 6

Answer 1

-6√5 + √3 {[2√3 (√8 + √5) + 6√15] : 4 + √6} =
=-6√5 + √3 {[2√3 (2√2 + √5) + 6√15] : 4 + √6} =
=-6√5 + √3 {[4√6 + 2√15 + 6√15] : 4 + √6 }=
=-6√5 + √3 {[4√6 + 8√15] : 4 + √6} =
=-6√5 + √3 (2√6 + 2√15)   =
=-6√5 + 2√18 + 2√45   =
=-6√5 + 6√2 + 6√5   =
= 6√2