a) $\sqrt[-0,8]{(-0,125)}$ $^{2}$ b) $\sqrt{(-2)}$ $^{6}$ c) $\sqrt{(}$$\sqrt{3}$ – 2)$^{2}$ d) $\sqrt{(2}$$\sqrt{2}$ – 3)$^{2}$

a) $\sqrt[-0,8]{(-0,125)}$ $^{2}$
b) $\sqrt{(-2)}$ $^{6}$
c) $\sqrt{(}$$\sqrt{3}$ – 2)$^{2}$
d) $\sqrt{(2}$$\sqrt{2}$ – 3)$^{2}$

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  1. $\begin{array}{l}a) \, \sqrt[-0,8]{(-0,125)^2}\\ = (-0,5^3)^{2.\tfrac{1}{-0,8}}\\ = (-0,5)^{-\tfrac{15}{2}}\\ \approx 181\\ b)\, \sqrt{(-2)^6}\\ = |-2|^3 = 8\\ c)\,\sqrt{(\sqrt 3 – 2)^2}\\ = |\sqrt3 – 2|\\ = 2 – \sqrt3\\ d) \, \sqrt{(2\sqrt2 – 3)^2}\\ = |2\sqrt2 – 3|\\ 3 – 2\sqrt2\end{array}$

     

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