Răspuns: [tex]\bf 24\sqrt{3}[/tex]
Explicație pas cu pas:
Salutare!
[tex]\bf 4\sqrt{54}\cdot(3\sqrt{98} -4\sqrt{50} +5\sqrt{108}-6\sqrt{75} )=[/tex]
[tex]\bf 4\cdot 3\sqrt{6}\cdot(3\cdot7\sqrt{2} -4\cdot5\sqrt{2} +5\cdot6\sqrt{3}-6\cdot5\sqrt{3} )=[/tex]
[tex]\bf 12\sqrt{6}\cdot(21\sqrt{2}-20\sqrt{2} +30\sqrt{3}-30\sqrt{3} )=[/tex]
[tex]\bf 12\sqrt{6}\cdot(21\sqrt{2}-20\sqrt{2})=[/tex]
[tex]\bf 12\sqrt{6}\cdot\sqrt{2}\cdot (21-20)=[/tex]
[tex]\bf 12\sqrt{6\cdot2}\cdot 1=[/tex]
[tex]\bf 12\sqrt{12}=[/tex]
[tex]\bf 12\cdot2\sqrt{3}=[/tex]
[tex]\boxed{\bf 24\sqrt{3}}[/tex]
==pav38==
