Răspuns:
1. a) 5+7 - 10= 12-10= 2
b) [tex]\frac{4}{3}[/tex] - [tex]\frac{9}{2}[/tex]= [tex]\frac{4*2- 3*9}{6}[/tex]= [tex]\frac{8-27}{6} = \frac{-21}{6} = \frac{-7}{2}[/tex] se scote de sub radical, se aduce la acelasi numitor
2. a) [tex]\sqrt{5} *\sqrt{2} =\sqrt{10}[/tex]
b) [tex]\sqrt{35} :\sqrt{7} = \sqrt{35:7} = \sqrt{5}[/tex]
c) 20[tex]\sqrt{6}[/tex]
3. a) [tex]\frac{4}{5} *\frac{1}{3}[/tex]= [tex]\frac{4}{15}[/tex] e) [tex]\frac{4*2 +1*5}{10}[/tex]= [tex]\frac{13}{10}[/tex]
b) [tex]\frac{7*1+1}{7} * \frac{3}{16}[/tex]= [tex]\frac{8}{7} * \frac{3}{16}[/tex]= [tex]\frac{3}{14}[/tex] g) [tex]\frac{4^{2} }{5^{2} }[/tex]= [tex]\frac{16}{25}[/tex]
c) [tex]\frac{4}{5} * \frac{7}{6}[/tex] = [tex]\frac{28}{30} = \frac{14}{15}[/tex] d) [tex]\frac{5}{6} * \frac{1}{10}[/tex] = [tex]\frac{1}{12}[/tex] f) [tex]\frac{3- 1*4}{8}[/tex]= [tex]\frac{-1}{8}[/tex]
4. a) = 5 b) = 3 c) 13 d) 6*7= 42
5. a) [tex]\frac{2\sqrt{5} }{5}[/tex] b) [tex]\frac{4\sqrt{3} }{3}[/tex] c) [tex]\frac{6*\sqrt{2} }{2} =3 \sqrt{2}[/tex] se amplifica fractia cu radicalul de la numitor