Question

сократить дробь (6 - √12)/(√12 - 2)

Answer 1

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