Question

(√54 - 12/2√6 ) + ( 48/√6 - 30/ 4√6 - 2/√24) =

Answer 1

(√54 - 12/2√6 ) + ( 48/√6 - 30/ 4√6 - 2/√24)
=[√(3²·6)-12/2√6]+ 48/√6 - 30/ 4√6 - 2/√(2·3·2²)
=[3√6-12√6/2·6]+ 48√6/6 - 30√6/ 4·6 - 2√/2·6
=(3√6-√6+8√6-5√6/4-√6/6\
=10√6-5√6/4-√6/6  aducem la acelasi numitor
=[10·12√6-5√6·3-√6·2]:12
=√6(120-15-2)
=103√6:12

Answer 2

(√54 - 12/2√6 ) + ( 48/√6 - 30/ 4√6 - 2/√24) =
=(3√6 - 12√6/2*6 ) + ( 48√6/6 - 30√6/4*6 - 2/2√6) =
=3√6 - √6 + 8√6 - 5√6/4 - √6/6 =
=10√6 - 5√6/4 - √6/6 =
=(120√6 - 15√6 - 2√6)/12 =
=103√6/12