👤

a= [tex]\frac{1}{2\sqrt{3}+3 } ori \frac{\sqrt{3} }{3}[/tex]

a=?

va rog super mult, dau coroana!


Răspuns :

Explicație pas cu pas:

[tex] \frac{1}{2 \sqrt{3} + 3 } \times \frac{ \sqrt{3} }{3} = \frac{1(2 \sqrt{3} - 3) }{12 - 9} \times \frac{ \sqrt{3} }{3} = \frac{2 \sqrt{3} - 3}{3} \times \frac{ \sqrt{3} }{3} = \frac{6 - 3 \sqrt{3} }{9} = \frac{3(2 - \sqrt{3}) }{9} = \frac{2 - \sqrt{3} }{3} [/tex]