Răspuns:
a) [tex]\frac{77}{2}[/tex]
b) 6
c) [tex]-\frac{22}{45}[/tex]
d) [tex]\frac{44}{3}[/tex]
Explicație pas cu pas:
a)
[tex]4*\sqrt{0,25} +\frac{5}{2} *\sqrt{0,36} +\sqrt{196} *2,5[/tex]
[tex]= 4*\sqrt{\frac{25}{100} } +\frac{5}{2} *\sqrt{\frac{36}{100} } + 14*2,5[/tex]
[tex]= 4*\frac{5}{10} + \frac{5}{2} *\frac{6}{10} +35[/tex]
[tex]= 2+\frac{3}{2} +35[/tex]
[tex]= \frac{4+3+70}{2}[/tex]
[tex]= \frac{77}{2}[/tex]
b)
[tex]0,1(6)*\sqrt{1296} - 0,(5)*\sqrt{0,81} +\frac{11}{18} *\sqrt{\frac{81}{121} }[/tex]
[tex]= \frac{15}{90} *36 - \frac{5}{9} *\sqrt{\frac{81}{100} } +\frac{11}{18} *\frac{9}{11}[/tex]
[tex]= 6 - \frac{5}{9} *\frac{9}{10} + \frac{1}{2}[/tex]
[tex]= 6-\frac{1}{2} +\frac{1}{2}[/tex]
[tex]= 6[/tex]
c)
[tex]\sqrt{\frac{144}{25} } :\sqrt{1,44} +1,(2)*\sqrt{\frac{4}{25} } - \frac{\sqrt{729} }{9}[/tex]
[tex]= \frac{12}{5} :\sqrt{\frac{144}{100} } + \frac{11}{9} *\frac{2}{5} - \frac{27}{9}[/tex]
[tex]= \frac{12}{5} *\frac{10}{12} + \frac{22}{45} - 3[/tex]
[tex]= 2 + \frac{22}{45} -3[/tex]
[tex]= \frac{22}{45} -1 = \frac{22-45}{45} = -\frac{23}{45}[/tex]
d)
[tex]\frac{10}{3} *\sqrt{12,96} - 5\frac{1}{3} :\sqrt{2,56} + 1,2*\sqrt{25}[/tex]
[tex]= \frac{10}{3} *\sqrt{\frac{1296}{100} } - \frac{16}{3} :\sqrt{\frac{256}{100} } +\frac{12}{10} *5[/tex]
[tex]= \frac{10}{3} *\frac{36}{10} - \frac{16}{3} *\frac{10}{16} + 6[/tex]
[tex]=12 - \frac{10}{3} +6[/tex]
[tex]= 18-\frac{10}{3} = \frac{54-10}{3} = \frac{44}{3}[/tex]
