Question

Calculați: (4√10-12√6):4√2 =?
DAU COROANA​

Answer 1

Răspuns:

$(4 \sqrt{10} - 12 \sqrt{6} ) \div 4 \sqrt{2} = \\ \\ =\frac{4(4\sqrt{10} - 3 \sqrt{6} )}{4 } \times \sqrt{2} = \\ \\ = \frac{1(\sqrt{10} - 3 \sqrt{6} )}{ 1 } \times \sqrt{2} = \\ \\ = ( \sqrt{10} - 3 \sqrt{6} ) \sqrt{2} = \\ \\ = \sqrt{20} - 3 \sqrt{12 } = \\ \\ \boxed{2 \sqrt{5} - 6 \sqrt{3} }$