Răspuns :

Răspuns:

Explicație pas cu pas:

[tex]3\sqrt{24} - \sqrt{54} -2\sqrt{96} +\sqrt{150} =[/tex]

[tex]=3\sqrt{4*6} - \sqrt{9*6} -2\sqrt{16*6} +\sqrt{25*6} =[/tex]

[tex]=3\sqrt{4}*\sqrt{6} - \sqrt{9}*\sqrt{6} -2\sqrt{16}*\sqrt{6} +\sqrt{25}*\sqrt{6} =[/tex]

[tex]=3*2*\sqrt{6} - 3*\sqrt{6} -2*4*\sqrt{6} +5*\sqrt{6} =[/tex]

[tex]=6*\sqrt{6} - 3*\sqrt{6} -8*\sqrt{6} +5*\sqrt{6} =[/tex]

[tex]=\sqrt{6}*(6 - 3 -8 +5) = =\sqrt{6}*0 = 0[/tex]

Răspuns: [tex]\bf \red{\underline{~0~}}[/tex]

Explicație pas cu pas:

[tex]\bf 3\sqrt{24} - \sqrt{54} -2\sqrt{96} +\sqrt{150} =[/tex]

[tex]\bf 3\sqrt{2^{2} \cdot6} - \sqrt{3^{2} \cdot6} -2\sqrt{4^{2} \cdot6} +\sqrt{5^{2} \cdot6} =[/tex]    

[tex]\bf 3\cdot2\cdot\sqrt{6} - 3\cdot\sqrt{6} -2\cdot4\cdot\sqrt{6} +5\cdot\sqrt{6} =[/tex]

[tex]\bf \blue{\underline{6\sqrt{6}}}- 3\sqrt{6} -8\sqrt{6} +\blue{\underline{5\sqrt{6}}} =[/tex]

[tex]\bf 11\sqrt{6} - 11\sqrt{6} = \red{\underline{~0~}}[/tex]