Question

20. Efectuați calculele: a) 8√3-(12/2radical3 +20/5radical2) ×√6-(4/2radical8 -6/3radical12) ×6radical6​

Answer 1

Răspuns:

$8 \sqrt{3} - ( \frac{12}{2 \sqrt{3} } + \frac{20}{5 \sqrt{2} } ) \times \sqrt{6} - ( \frac{4}{ \sqrt{8} } - \frac{6}{3 \sqrt{12} } ) \times 6 \sqrt{6} \\ 8 \sqrt{3} - ( \frac{6}{ \sqrt{3} } + \frac{4}{ \sqrt{2} } ) \times \sqrt{6} - ( \frac{4}{2 \sqrt{2} } - \frac{6}{3 \times 2 \sqrt{3} } ) \times 6 \sqrt{6} \\ 8 \sqrt{3} - ( \frac{6 \sqrt{3} }{3} + \frac{4 \sqrt{2} }{2} ) \times \sqrt{6} - ( \frac{2}{ \sqrt{2} } - \frac{1}{ \sqrt{3} } ) \times 6 \sqrt{6} \\ 8 \sqrt{3 } - (2 \sqrt{3} + 2 \sqrt{2} ) \times \sqrt{6} - ( \sqrt{2} - \frac{ \sqrt{3} }{3} ) \times 6 \sqrt{6} \\ 8 \sqrt{3} - (2 \sqrt{18} + 2 \sqrt{12} ) - (6 \sqrt{12} - \frac{6 \sqrt{18} }{3} ) \\ 8 \sqrt{3} - (2 \sqrt{9 \times 2} + 2 \sqrt{4 \times 3} ) - (6 \sqrt{4 \times 3} - 2 \sqrt{18} ) \\ 8 \sqrt{3 } - (2 \times 3 \sqrt{2} + 2 \times 2 \sqrt{3} ) - (6 \times 2 \sqrt{3} - 2 \sqrt{9 \times 2} ) \\ 8 \sqrt{3} - (6 \sqrt{2} + 4 \sqrt{3} ) - (12 \sqrt{3} - 6 \sqrt{2} ) \\ 8 \sqrt{3} - 6 \sqrt{2} - 4 \sqrt{3} - 12 \sqrt{3} + 6 \sqrt{2} \\ 8 \sqrt{3} - 4 \sqrt{3} - 12 \sqrt{3} \\ - 8 \sqrt{3}$