Question

As dori sa ma ajucati cat de repede si bine puteti, va rog!


$(-0,5) ^{-2} +(-1) ^{-9} -( \sqrt{12} + \frac{1}{ \sqrt{3} } ) * \sqrt{27}$

Answer 1

[tex](-0,5)^2+(-1)^{-9}-( \sqrt{12} + \frac{{ ^\sqrt{3}^)} 1~~~}{ \sqrt{3} } )* \sqrt{27}=\\\\ =0,25+(-1)-( \sqrt{4*3} + \frac{ \sqrt{3} }{3} )* \sqrt{9*3} \\\\ =-0,75-(\frac{^3^)2 \sqrt{3} }{1} + \frac{ ^1^)\sqrt{3} }{3} )*3 \sqrt{3} \\\\ =-0,75-( \frac{6 \sqrt{3}+ \sqrt{3} }{3})(simplificam~6~cu~3~si~ne~da~2) * 3 \sqrt{3} \\\\ =-0,75-(2 \sqrt{3} +1 \sqrt{3}) *3 \sqrt{3} \\\\ =-0,75-3 \sqrt{3} *3 \sqrt{3} \\\\ =-0,75-3*3* \sqrt{3*3} \\\\ =-0,75-9 \sqrt{9} \\\\ =-0,75-9*3\\\\ =-0,75-27\\\\ [/tex]

$\boxed{=-27,75}$