Question

efectuati calculele
4 x (v5-2v2)+3(7v5-4v2)-7(v2-3v5)
v63-3(2v7-4v3)+4(2v3+5v7)

x inseamn inmultire si v radical

Answer 1

Răspuns:

• $46 \sqrt{5} - 27 \sqrt{2}$
• $17 \sqrt{7} + 20 \sqrt{3}$

Explicație pas cu pas:

$4 \times ( \sqrt{5} - 2 \sqrt{2} ) + 3(7 \sqrt{5} - 4 \sqrt{2} ) - 7( \sqrt{2} - 3 \sqrt{5} ) \\ = 4 \sqrt{5} - 8 \sqrt{2} + 21 \sqrt{5} - 12 \sqrt{2} - 7 \sqrt{2} + 21 \sqrt{5} \\ = 46 \sqrt{5} - 27 \sqrt{2}$

$\sqrt{63} - 3(2 \sqrt{7} - 4 \sqrt{3} ) + 4(2 \sqrt{3} + 5 \sqrt{7} ) \\ = 3 \sqrt{7} - 6 \sqrt{7} + 12 \sqrt{3} + 8 \sqrt{3} + 20 \sqrt{7} \\ = 17 \sqrt{7} + 20 \sqrt{3}$