Question

$( \frac{5}{ \sqrt{12} } -\frac{1}{ \sqrt{3} } - \frac{2}{ \sqrt{27} } )*3 \sqrt{3}$

Answer 1

$( \frac{5}{ \sqrt{12} } - \frac{1}{ \sqrt{3} } - \frac{2}{ \sqrt{27} } )*3 \sqrt{3}$
STim ca:
√12= 2√3
√27=3√3
Facem astfel:$( \frac{5}{ 2\sqrt{3} } - \frac{1}{ \sqrt{3} } - \frac{2}{3 \sqrt{3} } )* 3\sqrt{3}$
Rationalizam la numitor si obtinem :
$( \frac{5 \sqrt{3} }{6} - \frac{ \sqrt{3} }{3} - \frac{ 2\sqrt{3} }{9} )*3 \sqrt{3}$
In paranteza aducem la num.comun, adica 18 , si obtinem :
$( \frac{ 15\sqrt{3} - 6\sqrt{3}-4 \sqrt{3} }{18} )* 3\sqrt{3} \ \textless \ =\ \textgreater \ \frac{5 \sqrt{3} }{18} *3 \sqrt{3} = \frac{5}{2}$

Answer 2

(5/√12-1/√3-2/√27)*3√3= (5/2√3-1/√3-2/3√3)*3√3= (Amplificam toate fracțiile din paranteza cu √3)= (5√3/6-√3/3-2√3/9)*3√3= (Numitorul comun este 18)= (15√3-6√3-4√3 totul supra 18)*3√3= 5√3/18*3√3=15√9/18(simplificăm cu 3)=5√9/6=5*3/6=15/6(simplificăm cu 3)=[5/2] Sper ca te-am ajutat :))