(√12+5√8)*√3
=(2√3+10√2)*√3
=6+10√6
(2√3+3√2)(2√3-3√2)
=(2√3)^2-(3√2)^2
=12-18
=-6
(2√3+2√5)^2
=(2√3)^2+2(2√3)(2√5)+(2√5)^2
=12+8√15+20
=32+8√15
(√48+√6/4)/√27
=(4√3+√6/4)/3√3
=(4√3)/3√3+√6/(4*3√3)
=4/3+(√2)/12
[√24-√(1/2)]-[√(1/8)+√6]
=2√6-√2/2-√2/4-√6
=√6-3(√2)/4
2√12*(√3/4)/5√2
=(2*1/4*1/5)*√(12*3/2)
=(1/10)*√18
=3(√2)/10
(2√3+√6)(2√3-√6)
=(2√3)^2-(√6)^2
=12-6
=6
(2√48-3√27)/√6
=(8√3-9√3)/√6
=-√3/√6
=-√(1/2)
=-(√2)/2