Question

1)root of 243 divided by root of 867

2)root of 147 * root of 243

Answer 1

$$\begin{gathered} \left(1\right). \\ \frac{\sqrt{243}}{\sqrt{867}}=\frac{\sqrt{3\times 3\times 3\times 3\times 3}}{\sqrt{3\times 17\times 17}}=\frac{3\times 3\sqrt{3}}{17\sqrt{3}}=\frac{9}{17} \\ \left(2\right). \\ \sqrt{147}\times \sqrt{243}=\sqrt{3\times 7\times 7}\times \sqrt{3\times 3\times 3\times 3\times 3}=7\sqrt{3}\times 9\sqrt{3}=189 \end{gathered}$$