Question

cube root of 0.064/0.027 devided by square root of 0.09/0.04 + 5/9
evaluate.

Answer 1

Dear student,

$$\begin{gathered} Wehave, \\ \sqrt[3]{\frac{0.064}{0.027}}÷\sqrt{\frac{0.09}{0.04}}+\frac{5}{9} \\ =\sqrt[3]{\frac{0.4\times 0.4\times 0.4}{0.3\times 0.3\times 0.3}}÷\sqrt{\frac{0.3\times 0.3}{0.2\times 0.2}}+\frac{5}{9} \\ =\frac{0.4}{0.3}÷\frac{0.3}{0.2}+\frac{5}{9} \\ =\frac{0.4}{0.3}\times \frac{0.2}{0.3}+\frac{5}{9} \\ =\frac{0.08}{0.09}+\frac{5}{9} \\ =\frac{8}{9}+\frac{5}{9} \\ =\frac{13}{9} \end{gathered}$$

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