Question

efectuati calculele si scrieti rezultatul sub forma de tractie cu numitorul rational a 7 supra 2radical 6-4 supra 3radical 6-2supra radical din 6​

Answer 1

Răspuns:

5√6 / 18

Explicație pas cu pas:

$\displaystyle \frac{7}{2\sqrt{6} } \ - \ \frac{4}{3\sqrt{6} } \ - \ \frac{2}{\sqrt{6} } \ = \frac{7 \ \cdot \ \sqrt{6} }{2\sqrt{6} \ \cdot \ \sqrt{6}} \ - \ \frac{4\ \cdot \ \sqrt{6} }{3\sqrt{6}\ \cdot \ \sqrt{6} } \ - \ \frac{2\ \cdot \ \sqrt{6} }{\sqrt{6} \ \cdot \ \sqrt{6}} \ = \ \frac{7\sqrt{6} }{12} } \ - \ \frac{4\sqrt{6} }{18} \ - \ \frac{2\sqrt{6} }{6} \ = \ \frac{21\sqrt{6} }{36} \ - \ \frac{8\sqrt{6} }{36} \ - \ \frac{2\sqrt{6} }{36} \ = \ \frac{10\sqrt{6} }{36 } \ = \frac{5\sqrt{6}}{18}$

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