D1 - Calculations on radicals - Immediate

D2 - Calculations on radicals - Simplifications  

Example :  $\sqrt{2}\times \frac{\sqrt{8}}{\sqrt{16}}$

D3 - Calculations on radicals - Simplifications  

Example :  $2\sqrt{24}+4\sqrt{96}$

D4 - Calculations on radicals - Simplification of the denominator - Part 1

Examples :  $\frac{40\sqrt{2}}{\sqrt{5}}$ $\frac{4}{2+\sqrt{6}}$

D5 - Calculations on radicals - Getting a reduce form - Part 1 

Examples :  $\left(\sqrt{8}+3\right)\left(\sqrt{8}-3\right)$ ${\left(\sqrt{6}+2\right)}^2$

D6 - Calculations on radicals - Getting a reduce form - Part 2

Examples :  $-5\sqrt{6}+8\sqrt{6}+2\sqrt{6}$  ; $\sqrt{20}+4\sqrt{20}+8\sqrt{125}+5$

D7 - Calculations on radicals - Simplification of the denominator - Part 2

Examples: $2\sqrt{2}+\frac{-8}{\sqrt{2}}$  ; $\frac{2+6\sqrt{3}}{-5+2\sqrt{3}}$

D8 - Calculations on radicals - Simplifications

Examples : ${\sqrt{6}}^3{\sqrt{4}}^5{\sqrt{6}}^5$ ;  $\frac{{\sqrt{4}}^4{\sqrt{6}}^5}{{\sqrt{4}}^2{\sqrt{8}}^3}$

D9 - Calculations on radicals - Simplifications

Examples :  $\frac{2\sqrt{2}}{\frac{1}{\sqrt{4}}\sqrt{10}\sqrt{4}}$ ou $\sqrt{\frac{3}{5}}\sqrt{\frac{4}{7}}\sqrt{\frac{2}{3}}$

D10 - Calculations on radicals -  Synthesis