Question

решите выражения с корнями

Answer 1

$( \sqrt{18} + \sqrt{2} ) \times \sqrt{2} = (3 \sqrt{2} + \sqrt{2} ) \sqrt{2} = 4 \sqrt{2} \sqrt{2} = 4 \times 2 = 8$

$( \sqrt{11} + 3) {}^{2} - 6 \sqrt{11} = 11 + 6 \sqrt{11} + 9 - 6 \sqrt{11} = 20$

$(2 + \sqrt{3} ) {}^{2} + (2 - \sqrt{3}) {}^{2} = 4 + 4 \sqrt{3} + 3 + 4 - 4 \sqrt{3} + 3 = 14$

$\frac{ \sqrt{21} \times \sqrt{14} }{6} = \frac{ \sqrt{294} }{6} = \frac{7 \sqrt{6} }{6} = 2.85$