Exercice 2

Écrire les nombres suivants sous la forme \(a\sqrt{b}\), où \(a\) et \(b\) désignent deux entiers naturels, \(b\) tant le plus petit possible.

Question

\(\sqrt{40}\)

Solution

\(\sqrt{40} = 2\sqrt{10}\)

Question

\(\sqrt{99}\)

Solution

\(\sqrt{99} = 3\sqrt{11}\)

Question

\(\sqrt{54}\)

Solution

\(\sqrt{54} = 3\sqrt{6}\)

Question

\(\sqrt{63} \)

Solution

\(\sqrt{63} = 3\sqrt{7}\)

Question

\(\sqrt{32}\)

Solution

\(\sqrt{32} = 4\sqrt{2}\)

Question

\(\sqrt{675}\)

Solution

\(\sqrt{675} = 15\sqrt{3}\)\(\)

Question

\(\sqrt{144}\)

Solution

\(\sqrt{144} = 12\sqrt{1} = 12\)