Question

exercițiul din poza atașată mai jos va rog ​

Answer 1

Răspuns:

a)   $\frac{77}{2}$

b)   6

c)   $-\frac{22}{45}$

d)  $\frac{44}{3}$

Explicație pas cu pas:

a)

$4*\sqrt{0,25} +\frac{5}{2} *\sqrt{0,36} +\sqrt{196} *2,5$

$= 4*\sqrt{\frac{25}{100} } +\frac{5}{2} *\sqrt{\frac{36}{100} } + 14*2,5$

$= 4*\frac{5}{10} + \frac{5}{2} *\frac{6}{10} +35$

$= 2+\frac{3}{2} +35$

$= \frac{4+3+70}{2}$

$= \frac{77}{2}$

b)

$0,1(6)*\sqrt{1296} - 0,(5)*\sqrt{0,81} +\frac{11}{18} *\sqrt{\frac{81}{121} }$

$= \frac{15}{90} *36 - \frac{5}{9} *\sqrt{\frac{81}{100} } +\frac{11}{18} *\frac{9}{11}$

$= 6 - \frac{5}{9} *\frac{9}{10} + \frac{1}{2}$

$= 6-\frac{1}{2} +\frac{1}{2}$

$= 6$

c)

$\sqrt{\frac{144}{25} } :\sqrt{1,44} +1,(2)*\sqrt{\frac{4}{25} } - \frac{\sqrt{729} }{9}$

$= \frac{12}{5} :\sqrt{\frac{144}{100} } + \frac{11}{9} *\frac{2}{5} - \frac{27}{9}$

$= \frac{12}{5} *\frac{10}{12} + \frac{22}{45} - 3$

$= 2 + \frac{22}{45} -3$

$= \frac{22}{45} -1 = \frac{22-45}{45} = -\frac{23}{45}$

d)

$\frac{10}{3} *\sqrt{12,96} - 5\frac{1}{3} :\sqrt{2,56} + 1,2*\sqrt{25}$

$= \frac{10}{3} *\sqrt{\frac{1296}{100} } - \frac{16}{3} :\sqrt{\frac{256}{100} } +\frac{12}{10} *5$

$= \frac{10}{3} *\frac{36}{10} - \frac{16}{3} *\frac{10}{16} + 6$

$=12 - \frac{10}{3} +6$

$= 18-\frac{10}{3} = \frac{54-10}{3} = \frac{44}{3}$