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0.2+\sqrt[3]{-8}-\sqrt{\frac{1}{4}}
Calculate the square root of 0.04 and get 0.2.
0.2-2-\sqrt{\frac{1}{4}}
Calculate \sqrt[3]{-8} and get -2.
-1.8-\sqrt{\frac{1}{4}}
Subtract 2 from 0.2 to get -1.8.
-1.8-\frac{1}{2}
Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.
-\frac{23}{10}
Subtract \frac{1}{2} from -1.8 to get -\frac{23}{10}.