Răspuns:
a) mg = [tex]\sqrt{a *b}[/tex] =[tex]\sqrt{12*3}[/tex] =[tex]\sqrt{36}[/tex]=6
b) [tex]\sqrt{8*2}[/tex] =[tex]\sqrt{16}[/tex]=4
c) [tex]\sqrt{18*8} =\sqrt{144} =12[/tex]
d) [tex]\sqrt{3 \frac{1}{5} *5}[/tex]=[tex]\sqrt{\frac{3*5+1}{5}* 5}[/tex]=[tex]\sqrt{\frac{16}{5}*5 } =\sqrt{16} =4[/tex]
e)[tex]\sqrt{\frac{7}{12}*2 \frac{1}{3} } =\sqrt{\frac{7}{12} *\frac{2*3+1}{3} } =\sqrt{\frac{7}{12} *\frac{7}{3} }=\sqrt{\frac{49}{36} }=\frac{\sqrt{49} }{\sqrt{36} } =\frac{7}{6}[/tex]
f) [tex]\sqrt{\sqrt{5} ^{-1} *\sqrt{\frac{5}{16} } } =\sqrt{\frac{1}{\sqrt{5} }*\frac{\sqrt{5} }{\sqrt{16} } }=\sqrt{\frac{1}{\sqrt{16} } } =\sqrt{\frac{1}{4} } =\frac{\sqrt{1} }{\sqrt{4} } =\frac{1}{2}[/tex]
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