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Calculati valoarea numarului a=-√3-3√12+4√27-5√48+3√75

Răspuns :

[tex] -\sqrt{3}-3\sqrt{12}+4\sqrt{27}-5\sqrt{48}+3\sqrt{75}= [/tex]
[tex]-\sqrt{3}-3*2\sqrt{3}+4*3\sqrt{3}-5*4\sqrt{3}+3*5\sqrt{3}=[/tex]
[tex]-\sqrt{3}-6\sqrt{3}+12\sqrt{3}-20\sqrt{3}+15\sqrt{3}=0 [/tex]
Extragem termenii de sub radical obtinand:a=-√3-6√3+12√3-20√3+15√3= 0