Question

1. Calculaţi:.......​

Answer 1

Răspuns:

a)

Explicație pas cu pas:

$\sqrt{20} - \frac{10}{ \sqrt{5} } - (\frac{1}{2} ){}^{ - 2} \\ \sqrt{4 \times 5} - \frac{10}{ \sqrt{5} } - 2 {}^{2} \\ 2 \sqrt{5} - \frac{10}{ \sqrt{5} } - 4 \\ 2 \sqrt{5} - \frac{10 \sqrt{5} }{5} - 4 \\ 2 \sqrt{5} - 2 \sqrt{5} - 4 \\ - 4$

b)

$2 \sqrt{6} (3 \sqrt{6} - 2 \sqrt{2} ) - 5 \sqrt{2} (4 \sqrt{6} + 5 \sqrt{2} ) \\ 6 \sqrt{36} - 4 \sqrt{12} - 20 \sqrt{12} - 25 \sqrt{4} \\ 36 - 4 \sqrt{4 \times 3} - 20 \sqrt{4 \times 3} - 25 \times 2 \\ 36 - 4 \times 2 \sqrt{3} - 20 \times 2 \sqrt{3} - 50 \\ 36 - 8 \sqrt{3} - 40 \sqrt{3} - 50 \\ 36 - 48 \sqrt{3} - 50 \\ 48 \sqrt{3} - 14$