Question

Calculati
$0,02: 10^{-2} - \frac{50}{ \sqrt{5} } + \sqrt{500} - 4^{-1} : 0.125$

Answer 1

    
[tex]0,02 :10^{-2} - \frac{50}{ \sqrt{5} } + \sqrt{500} - 4^{-1} : 0.125 = \\ =0,02 : \frac{1}{10^2} - \frac{50\sqrt{5}}{ 5 } + \sqrt{100 \times 5} - \frac{1}{4^1} : 0.125 = \\ =0,02 : \frac{1}{100} -10\sqrt{5} + 10\sqrt{5} - \frac{1}{4} : 0.125 = \\ =0,02 \times \frac{100}{1} -10\sqrt{5} + 10\sqrt{5} - 0,250 : 0.125 = \\ =0,02 \times 100 -10\sqrt{5} + 10\sqrt{5} - 0,250 : 0.125 = \\ =2 +0 -2 = \boxed{0}[/tex]