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2. Calculati că a • b si a/b unde:
a = V(radical)72 - V32 + V98 -
V18 - V8 si b=V147-V108 +V75 -V48 + V12


Răspuns :

Explicație pas cu pas:

[tex]a = \sqrt{72} - \sqrt{32} + \sqrt{98} - \sqrt{18} - \sqrt{8} \\ a = 6 \sqrt{2} - 4 \sqrt{2} + 7 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ a = 2 \sqrt{2} + 7 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ a = \: 9 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ a = 6 \sqrt{2} - 2 \sqrt{2} \\ a = 4 \sqrt{2} \\ \\ b = \sqrt{147} - \sqrt{108} + \sqrt{75} - \sqrt{48} + \sqrt{12} \\ b = 7 \sqrt{3 } - 6 \sqrt{3} + 5 \sqrt{3} - 4 \sqrt{3} + 2 \sqrt{3} \\ b = \sqrt{3} + 5 \sqrt{3} - 4 \sqrt{3} + 2 \sqrt{3} \\ b = 6 \sqrt{3} - 4 \sqrt{3} + 2 \sqrt{3} \\ b = 2 \sqrt{3} + 2 \sqrt{3} \\ b = 4 \sqrt{3} \\ \\ a \times b = 4 \sqrt{2} \times 4 \sqrt{3} = 16 \sqrt{6} \\ \frac{a}{b} = \frac{4 \sqrt{2} }{4 \sqrt{3} } = \sqrt{0.(6)} [/tex]

Succes!