الف) $\sqrt[4]{a^5} \div \sqrt[4]{a^2} = \frac{\sqrt[4]{a^5}}{\sqrt[4]{a^2}}$

ب) $\sqrt[4]{32} \div \sqrt[4]{2}$

ج) $\sqrt[3]{-17}$

د) $\frac{\sqrt[3]{-1}}{\sqrt[3]{5}}$

ه) $(\frac{1}{49})^9 = (\frac{1}{7})^2$

و) $\sqrt[3]{64x^3} \times \sqrt[4]{\frac{1}{16x^4}}$

ز) $\sqrt[4]{16x^2} \times \sqrt[3]{27x^3} = \sqrt[6]{x^5}$

ح) $\sqrt[8]{9^9} = (\sqrt{3})^2 = 9-2 = 7$

ط) $(\sqrt{12}-\sqrt{3})(\sqrt{12}+\sqrt{3}) = \sqrt{12}$

ی) $\frac{\sqrt{9}\sqrt{-1}}{2 \times 3} = \frac{\sqrt{9}-1}{\sqrt{7}+1}$

ک) $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}) + 1 \frac{1}{\sqrt{2}-1}$