Question

repede am nevoie la mate

Answer 1

$2 \sqrt{3} ( \sqrt{3} - 3 \sqrt{2} ) - \sqrt{2} ( \sqrt{2} - \sqrt{3} ) \\ = 6 - 6 \sqrt{6} - 2 + \sqrt{6} \\ = 4 - 3 \sqrt{6} \\ \\ \\ 3 \sqrt{10} (2 \sqrt{2 } - \sqrt{5} ) - 3 \sqrt{5} (4 - \sqrt{10} ) \\ = 6 \sqrt{20} - 3 \sqrt{50} - 12 \sqrt{5} + 3 \sqrt{50} \\ = 12 \sqrt{5} - 12\sqrt{5} \\ = 0$

Answer 2

Explicație pas cu pas:

$= 2 \sqrt{3} \cdot \sqrt{3} - 6 \sqrt{3} \cdot \sqrt{2} - \sqrt{2} \cdot \sqrt{2} + \sqrt{2} \cdot \sqrt{3} = 2 \cdot 3 - 6 \sqrt{3 \cdot 2} - 2 + \sqrt{2 \cdot 3} = 6 - 6 \sqrt{6} - 2 + \sqrt{6} = 4 - 5 \sqrt{6}$

$= 6 \sqrt{20} - 3 \sqrt{50} - 12 \sqrt{5} + 3 \sqrt{50} = 6 \sqrt{ {2}^{2} \cdot 5} - 3 \sqrt{2 \cdot {5}^{2} } - 12 \sqrt{5} + 3 \sqrt{2 \cdot {5}^{2} } = 12 \sqrt{5} - 15 \sqrt{2} - 12 \sqrt{5} + 15 \sqrt{2} = 0$