Question

Квадратный корень. 8​

Answer 1

√2(√18-√0,5) = 5

√75/√3 * (-2√6)^2 - √5*√180 = 90

√65/√20 * √52-√11(√11+√44) = -20

Answer 2

Объяснение:

1).

$\sqrt{2} ( \sqrt{18} - \sqrt{0.5}) = \sqrt{2} \times \sqrt{18} - \sqrt{2} \times \sqrt{0.5} = \sqrt{36} - \sqrt{1} = 6 - 1 = 5$

2).

$\frac{ \sqrt{75} }{ \sqrt{3} } \times ( - 2 \sqrt{6})^{2} - \sqrt{5} \times \sqrt{180} = \sqrt{ \frac{75}{3} } \times 4 \times 6 - \sqrt{900} = \sqrt{25} \times 24 - 30 = 5 \times 24 - 30 = 90$

3).

$\frac{ \sqrt{65} }{ \sqrt{20} } \times \sqrt{52} - \sqrt{11} ( \sqrt{11} + \sqrt{44)} = \sqrt{ \frac{65}{20} } \times \sqrt{52} - \sqrt{11} \times \sqrt{11} + \sqrt{11} \times \sqrt{44} = \sqrt{ \frac{13}{4}} \times \sqrt{ \frac{52}{1} } - (11 + \sqrt{11} \times \sqrt{11} \times \sqrt{4}) = \sqrt{ \frac{13 \times 52}{4} } - (11 + 11 \times 2) = \sqrt{13 \times 13} - (11 + 22) = 13 - 33 = - 20$