Question

Find cube root of 6859 by prime factorising method

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}6859\mathrm{is}: \\ 6859=19\times 19\times 19 \\ \mathrm{Now},\sqrt[3]{6859}=\sqrt[3]{19\times 19\times 19}=19 \\ \mathrm{So},\sqrt[3]{6859}=19 \end{gathered}$$