Question

(1)cube root of1372 * cube root of 1458

(2) cube root of 140*2450

(3) cube root of 1331 divided by 4096

Answer 1

$$\begin{gathered} \left(\mathbf{a}\right). \\ \sqrt[3]{1372}\times \sqrt[3]{1458} \\ =\sqrt[3]{1372\times 1458} \\ =\sqrt[3]{2000376} \\ =\sqrt[3]{2\times 2\times 2\times 3\times 3\times 3\times 3\times 3\times 3\times 7\times 7\times 7} \\ =2\times 3\times 3\times 7 \\ =126 \end{gathered}$$


$$\begin{gathered} \left(\mathbf{b}\right)\mathbf{.} \\ \sqrt[3]{140\times 2450} \\ =\sqrt[3]{343000} \\ =\sqrt{2\times 2\times 2\times 5\times 5\times 5\times 7\times 7\times 7} \\ =2\times 5\times 7 \\ =70 \end{gathered}$$


$$\begin{gathered} \left(\mathbf{c}\right)\mathbf{.} \\ \frac{\sqrt[3]{1331}}{\sqrt[3]{4096}}=\frac{\sqrt[3]{11\times 11\times 11}}{\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}} \\ =\frac{11}{2\times 2\times 2\times 2} \\ =\frac{11}{16} \end{gathered}$$