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Mathematics

The value of 273+0.0083+0.0643\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064} is :

  1. 27.0723\sqrt[3]{27.072}

  2. 3.72

  3. 3.6

  4. 3.06

Cube & Cube Roots

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Answer

273+0.0083+0.0643=(3×3×3)3+810003+6410003=3+210+410=3+0.2+0.4=3.6\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}\\[1em] = \sqrt[3]{(3 \times 3 \times 3)} + \sqrt[3]{\dfrac{8}{1000}} + \sqrt[3]{\dfrac{64}{1000}}\\[1em] = 3 + \dfrac{2}{10} + \dfrac{4}{10}\\[1em] = 3 + 0.2 + 0.4\\[1em] = 3.6

Hence, option 3 is the correct option.

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