Réponse :
A = [tex]2\sqrt{2} * \sqrt{50} =2\sqrt{2} * 5\sqrt{2} =2*5\sqrt{2*2} =10\sqrt{4} =10*2=20[/tex]
B = [tex]\sqrt{15}*3*\sqrt{10}=3\sqrt{15} *\sqrt{10} =3\sqrt{5*10*3} =3\sqrt{150} =3*5\sqrt{6} =15\sqrt{6}[/tex]
C = [tex]2\sqrt{27}*6\sqrt{3} =2*3\sqrt{3} *6\sqrt{3} =6\sqrt{3} *6\sqrt{3} =(6\sqrt{3})[/tex]² = 6² * [tex]\sqrt{3}[/tex]² = 36 * 3 = 108
D = [tex]3\sqrt{2} *\sqrt{8} *2\sqrt{2} =3\sqrt{2} *2\sqrt{2}*2\sqrt{2} =3*2\sqrt{2*2}*2\sqrt{2} =3*2*2*2\sqrt{2}=12*2\sqrt{2}[/tex]
D = [tex]24*\sqrt{2*2} =24\sqrt{2}[/tex]
Explications étape par étape :
