Question

сократить дробь (6 - √12)/(√12 - 2)

Answer 1

$frac{6- sqrt{12} }{ sqrt{12}-2 }= frac{6-2 sqrt{3} }{2 sqrt{3}-2 }= frac{2(3- sqrt{3}) }{2( sqrt{3}-1) } = frac{3- sqrt{3} }{ sqrt{3}-1 } = frac{ sqrt{3}( sqrt{3}-1) }{ sqrt{3}-1 } = sqrt{3}$