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Calculati:
[tex]2 \sqrt{8x} - 3 \sqrt{18x} - 5 \sqrt{50x} + \sqrt{200x} = [/tex]
Dau coroana!!


Răspuns :

2√8X - 3√18X - 5√50X + √200X = 

= 2√2³X - 3√2·3²X - 5√2·5²X + √2·10²X

= 4√2X - 9√2X - 25√2X + 10√2X

= -20√2X

[tex] \it 2\sqrt{8x} - 3\sqrt{18x} - 5\sqrt{50x} + \sqrt{200x} = 2* 2\sqrt{2x} - 3* 3\sqrt{2x} - 5* 5\sqrt{2x} + 10\sqrt{2} = 4\sqrt{2x} - 9\sqrt{2x} - 25\sqrt{2x} + 10\sqrt{5} = - 5\sqrt{2x} - 25\sqrt{2x} + 2\sqrt{5} = - 30 \sqrt{2x} + 10\sqrt{2} = \boxed{- 20\sqrt{2x} }[/tex]