Reduceti termenii asemenea :

[tex]5 \sqrt{3} \: + 2 - 3 \sqrt{7} \: + 8 \sqrt{7} \: \sqrt{ 3} \: - 2 = [/tex]


Răspuns :

5√3 + 2 - 3√7 + 8·√7·√3 - 2 = 5√3 -3√7 + 8√21


[tex]5 \sqrt{3} + 2 - 3 \sqrt{7} + 8 \times \sqrt{7} \times \sqrt{3} - 2 = \\ \\ 5 \sqrt{3} + 2 - 3 \sqrt{7} + 8 \sqrt{7 \times 3} - 2 = \\ \\ 5 \sqrt{3} + 2 - 3 \sqrt{7} + 8 \sqrt{21} - 2 = \\ \\ 5 \sqrt{3} + (2 - 2) - 3 \sqrt{7} + 8 \sqrt{21} = \\ \\ 5 \sqrt{3} - 3 \sqrt{7} + 8 \sqrt{21} [/tex]