Question

Va rog repede,dau coroana!
$\frac{2}{5} \sqrt{50 \:} - \frac{1}{3} \sqrt{18} + \ \frac{11}{9} \sqrt{162}$
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Answer 1

Răspuns:

Explicație pas cu pas:

$\dfrac{2}{5}\sqrt{50} - \dfrac{1}{3}\sqrt{18} + \dfrac{11}{9}\sqrt{162} = \dfrac{2}{5}\sqrt{2*5^{2} } - \dfrac{1}{3}\sqrt{2*3^{2} } + \dfrac{11}{9}\sqrt{2*9^{2} } = \dfrac{2*5\sqrt{2} }{5} - \dfrac{3\sqrt{2}}{3} + \dfrac{11*9\sqrt{2} }{9} = 2\sqrt{2} - \sqrt{2} + 11\sqrt{2} = 13\sqrt{2} - \sqrt{2} = \bf 12\sqrt{2}$