Respuesta :

tonb

Answer:

12√5 - 12√2

Step-by-step explanation:

simplify the terms individually

12√18 = 12√3²·2 = 12·3√2=36√2

-6√128 = 6√2·8² = 6·8√2 = -48√2

-3√80 = 3√4²·5 = -12√5

8√45 = 24√5

Then add them.

You could also write as 12(√5-√2), that's a matter of taste.

devishri1977

Answer:

Step-by-step explanation:

[tex]12\sqrt{18}-6\sqrt{128}-3\sqrt{80}+8\sqrt{45}\\\\ =12\sqrt{3*3*2}-6\sqrt{8*8*2}-3\sqrt{4*4*5}+8\sqrt{3*3*5}\\ \\ =12*3\sqrt{2}-6*8\sqrt{2}-3*4\sqrt{5}+8*3\sqrt{5}\\\\=36\sqrt{2}-48\sqrt{2}-12\sqrt{5}+24\sqrt{5}\\\\=(36-48)\sqrt{2}+(-12+24)\sqrt{5}\\\\ =-12\sqrt{2}+12\sqrt{5}[/tex]

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