Question

rationalizari URGENT​

Answer 1

Răspuns:

$-\frac{2\sqrt{2} }{3}$

Explicație pas cu pas:

$(\frac{18}{4\sqrt{2} } + \frac{16}{6\sqrt{2} } - \frac{18}{3\sqrt{2} } ) - (\frac{12}{4\sqrt{2} } + \frac{5}{2\sqrt{2} } - \frac{3}{\sqrt{2} } )$

$= \frac{18\sqrt{2} }{4*2} + \frac{16\sqrt{2} }{6*2} - \frac{18\sqrt{2} }{3*2} ) - (\frac{12\sqrt{2} }{4*2} + \frac{5\sqrt{2} }{2*2} - \frac{3\sqrt{2} }{2} )$

$= \frac{9\sqrt{2} }{4} + \frac{4\sqrt{2} }{3} - 3\sqrt{2} - \frac{3\sqrt{2} }{2} - \frac{5\sqrt{2} }{4} + \frac{3\sqrt{2} }{2}$

$= \frac{4\sqrt{2} }{4} + \frac{4\sqrt{2} }{3} - 3\sqrt{2}$

$= \sqrt{2} + \frac{4\sqrt{2} }{3} - 3\sqrt{2}$

$= \frac{4\sqrt{2} }{3} - 2\sqrt{2}$

$= \frac{4\sqrt{2} - 6\sqrt{2} }{3}$

$= -\frac{2\sqrt{2} }{3}$