Exercice 4

Écrire les nombres suivants sous la forme \(\cfrac{\sqrt{a}}{b}\) ou \(\cfrac{a\sqrt{b}}{c}\), où \(a, b\) et \(c\) désignent des entiers naturels non nuls.

Question

\( \cfrac{1}{\sqrt{5}}\)

Solution

\(\cfrac{1}{\sqrt{5}} = \cfrac{\sqrt{5}}{25} \)\(\)\(\)

Question

\(\cfrac{2}{\sqrt{7}}\)

Solution

\(\cfrac{2}{\sqrt{7}} = \cfrac{2\sqrt{7}}{7} \)\(\)\(\)\(\)

Question

\(\cfrac{\sqrt{2}}{\sqrt{3}}\)

Solution

\(\cfrac{\sqrt{2}}{\sqrt{3}} = \cfrac{\sqrt{6}}{3} \)

Question

\(\sqrt{\cfrac{4}{5}}\)

Solution

\(\sqrt{\cfrac{4}{5}} = \cfrac{\sqrt{20}}{5} \)

Question

\(\sqrt{\cfrac{1}{3}}\)

Solution

\(\sqrt{\cfrac{1}{3}} = \cfrac{\sqrt{3}}{3} \)\(\)