(1) 2√6*√3=2√(3²*2)=6√2
(2) 5√45*[-3√(8/3)/2]=-5√45*[3√(2/3)]=-5√45*[√6]=-5√270=-15√30
(3) [2√(X³Y)/3]*[12√(XY³)]=8√(X^4Y^4)=8X²Y²
(4) [√2+1][√2-1]=(√2)²-1²=1
(5) √2(√8-√12)=√16-√24=4-2√6
(1) 2√6*√3=2√(3²*2)=6√2
(2) 5√45*[-3√(8/3)/2]=-5√45*[3√(2/3)]=-5√45*[√6]=-5√270=-15√30
(3) [2√(X³Y)/3]*[12√(XY³)]=8√(X^4Y^4)=8X²Y²
(4) [√2+1][√2-1]=(√2)²-1²=1
(5) √2(√8-√12)=√16-√24=4-2√6